Rom 4:3 does not nullify Rom 5:19, that those that Christ died for shall be made Righteous by His One act of Obedience, not by Two Acts of Obedience.
There is no conflict because faith is not a work.
And Yes, Faith, Believing, are works, they are things that man does ! Faith is obedience Rom 1:5
Rom 1:5 says "By whom we have received grace and apostleship, for obedience to the faith among all nations". It does not say that faith is obedience, or that faith is a work... it says they have submitted to (been obedient to) their faith. In fact, by the very wording here, Obedience and Faith must be two different things, otherwise the verse would mean you receive grace by obedience to obedience which makes no sense. Faith is what you believe... obedience to the faith is limiting your actions to conform to your belief... therefore Rom 1:5 must necessarily mean that obedience and faith are not the same thing.
More likely, it is similar to what James says
Jam 2:18 Yea, a man may say, Thou hast faith, and I have works: shew me thy faith without thy works, and I will shew thee my faith by my works.
22 Seest thou how faith wrought with his works, and by works was faith made perfect?
In fact, James himself defines faith as "what you believe" and says that it is distinct and separate from works:
Jam 2:19 Thou believest that there is one God; thou doest well: the devils also believe, and tremble.
20 But wilt thou know, O vain man, that faith without works is dead?
Here James says it isn't enough that you just have faith (what you believe) because even the devils believe in God... but he says that your actions demonstrate your faith. James is not advocating that works saves, he's saying that if you have faith - if you believe - then it must necessarily affect your works, otherwise it is demonstrated that you do not truly have faith... that you do not truly believe. Faith saves, and works demonstrate faith. Faith and works are distinct and separate concepts.
Paul agrees:
Gal 3:1 O foolish Galatians, who hath bewitched you, that ye should not obey the truth, before whose eyes Jesus Christ hath been evidently set forth, crucified among you?
2 This only would I learn of you, Received ye the Spirit by the works of the law, or by the hearing of faith?
3 Are ye so foolish? having begun in the Spirit, are ye now made perfect by the flesh?
Paul makes a distinction as well between faith and works. The Galatians were arguing that Gentiles needed to be circumcised and follow the law of Moses. Paul made the point that their salvation did not come by works, but by faith.
Gal 3:5 He therefore that ministereth to you the Spirit, and worketh miracles among you, [doeth he it] by the works of the law, or by the hearing of faith?
6 Even as Abraham believed God, and it was accounted to him for righteousness.
Here again Paul makes a distinction between faith and works, and equates faith with belief.
Rom 9:31 But Israel, which followed after the law of righteousness, hath not attained to the law of righteousness.
32 Wherefore? Because [they sought it] not by faith, but as it were by the works of the law. For they stumbled at that stumblingstone;
Here again Paul draws a distinction between faith and works, and even says they could have attained righteousness if they (not God) had sought it by faith.
Gal 2:16 Knowing that a man is not justified by the works of the law, but by the faith of Jesus Christ, even we have believed in Jesus Christ, that we might be justified by the faith of Christ, and not by the works of the law: for by the works of the law shall no flesh be justified.
Yet again Paul sets works and faith as distinct and different, and yet once again equates faith with believing.
It is overwhelmingly clear that faith is not a work.
Believing is an response to a command 1 Jn 3:23
That it is a command doesn't make it a work. For example, God could give us a choice (lets say the choice is life or death) and then command us to choose between them. He may even tell us which one to choose if we know what's good for us (He surly does).
Deu 30:19 I call heaven and earth to record this day against you, [that] I have set before you life and death, blessing and cursing: therefore choose life, that both thou and thy seed may live:
Now for you to say man is saved because of his obedience, that is a direct slap in the face to Rom 5:19 and it is promoting salvation by the works or doings or performance of man, that is a False Gospel !
Gal 1:6 I marvel that ye are so soon removed from him that called you into the grace of Christ unto another gospel:
7 Which is not another; but there be some that trouble you, and would pervert the gospel of Christ.
8 But though we, or an angel from heaven, preach any other gospel unto you than that which we have preached unto you, let him be accursed.
9 As we said before, so say I now again, If any [man] preach any other gospel unto you than that ye have received, let him be accursed.
The false Gospel - the perversion that Paul is speaking about in Galatians - are those who equate faith with works as the Galatians, and you SBM, are doing. Paul says no, they are distinct and different. You do not attain salvation by works, but rather by faith of, or belief in, Jesus Christ.
I encourage you to study Galatians. Paul defines the two covenants - the law (works) and the promise (faith) - in Galatians 3 & 4:
Gal 3:5 He therefore that ministereth to you the Spirit, and worketh miracles among you, [doeth he it] by the works of the law, or by the hearing of faith?
6 Even as Abraham believed God, and it was accounted to him for righteousness.
7 Know ye therefore that they which are of faith, the same are the children of Abraham.
8 And the scripture, foreseeing that God would justify the heathen through faith, preached before the gospel unto Abraham, [saying], In thee shall all nations be blessed. (see Genesis 15-17)
9 So then they which be of faith are blessed with faithful Abraham.
Gal 3:16 Now to Abraham and his seed were the promises made. He saith not, And to seeds, as of many; but as of one, And to thy seed, which is Christ. (See Genesis 15-17)
17 And this I say, [that] the covenant, that was confirmed before of God in Christ, the law, which was four hundred and thirty years after, cannot disannul, that it should make the promise of none effect.
18 For if the inheritance [be] of the law, [it is] no more of promise: but God gave [it] to Abraham by promise.
Gal 4:21 Tell me, ye that desire to be under the law, do ye not hear the law?
22 For it is written, that Abraham had two sons, the one by a bondmaid, the other by a freewoman.
23 But he [who was] of the bondwoman was born after the flesh; but he of the freewoman [was] by promise.
24 Which things are an allegory: for these are the two covenants; the one from the mount Sinai, which gendereth to bondage, which is Agar.
28 Now we, brethren, as Isaac was, are the children of promise.
31 So then, brethren, we are not children of the bondwoman, but of the free.
All of this is paralleled in Romans 3 and 4:
Rom 3:22 Even the righteousness of God [which is] by faith of Jesus Christ unto all and upon all them that believe: for there is no difference:
23 For all have sinned, and come short of the glory of God;
24 Being justified freely by his grace through the redemption that is in Christ Jesus:
25 Whom God hath set forth [to be] a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God;
26 To declare, [I say], at this time his righteousness: that he might be just, and the justifier of him which believeth in Jesus.
27 Where [is] boasting then? It is excluded. By what law? of works? Nay: but by the law of faith.
28 Therefore we conclude that a man is justified by faith without the deeds of the law.
Rom 4:2 For if Abraham were justified by works, he hath [whereof] to glory; but not before God.
3 For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness.
4 Now to him that worketh is the reward not reckoned of grace, but of debt.
5 But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
Rom 4:13 For the promise, that he should be the heir of the world, [was] not to Abraham, or to his seed, through the law, but through the righteousness of faith.
14 For if they which are of the law [be] heirs, faith is made void, and the promise made of none effect:
Rom 4:20 He staggered not at the promise of God through unbelief; but was strong in faith, giving glory to God;
Rom 4:23 Now it was not written for his sake alone, that it was imputed to him;
24 But for us also, to whom it shall be imputed, if we believe on him that raised up Jesus our Lord from the dead;
SBM, my friend if you believe that faith is a work, then you truly believe "another gospel" and are in serious danger of the curse mentioned in Galatians 1.