I completely disagree with this. God cannot be unfaithful to himself. And I believe God is obligated to save everyone he possibly can because he is a loving, perfectly moral being.
Wrong! God is not OBLIGATED to save anyone. Why do you think he is obligated to send His Son to die for sins that I made. Why is He obligated to save my soul when I DESERVE to be in Hell? If God saved no one, He would be perfectly fine to do just that. We do not deserve heaven nor the chance to go to heaven. It's called mercy, grace. It's not deserved. This is the fundamental flaw with your thinking here by your statement. You think that somehow God is obligated to show mercy. God doesn't have to show unmerited mercy to be a loving, perfectly moral being.
God is bound by his own moral laws, he cannot just do anything he wants as some here falsely teach. He cannot lie for example, he does not tempt a man to sin.
God can do anything He wants or He isn't sovereign. That is what we truly teach. God cannot lie. That is true because God doesn't want to lie. He has said that lying is wrong. He doesn't lie because it is wrong, it is wrong because He doesn't lie. God = good. We learn what is right and wrong from God. He is not bound to any laws except the ones HE has made.
God has commanded us to warn other men, and God does not sit back idly and just let men perish.
Eze 3:18 When I say unto the wicked, Thou shalt surely die; and thou givest him not warning, nor speakest to warn the wicked from his wicked way, to save his life; the same wicked man shall die in his iniquity; but his blood will I require at thine hand.
Of course God doesn't sit back, otherwise N

NE would be saved. God has called everyone to repent.
God does not have one set of rules for men and another for himself. Jesus lived under the same exact laws as the Jews were required to live. God must warn men as a good and loving moral being.
In the sense you are speaking of yes. (We are not to be worshiped, but God is to be worshiped...An example of a difference.)
And God has called everyman to repent. No one is without excuse.
Romans 1:20
For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead; so that they are without excuse:
But we are not puppets or robots, else love could not exist. Love requires choice. You can't force someone to love you, they have to do it of their own free will.
And no one teaches that we are robots. We freely choose to love God after we have been enabled to do so. Before we are saved, we do not love God. You "free will" before you are saved is still bound by your nature. And your nature will never love God on his own.
Romans 3:10-11
As it is written, There is none righteous, no, not one: There is none that understandeth, there is none that seeketh after God.
God loves us so much he gave his own Son to pay for our sins. But he will not force this gift upon us, we have to choose it of our own free will.
There is no biblical basis for the last part of your statement. The first part is right on, but the last part is inaccurate per Romans 3 and John 6.
John 6:44,65
No man can come to me, except the Father which hath sent me draw him: and I will raise him up at the last day.
And he said, Therefore said I unto you, that no man can come unto me, except it were given unto him of my Father.
But saying God did not have to give Jesus to die for us to save us is nonsense, God must always be faithful to who he is.
2 Tim 2:13 If we believe not, yet he abideth faithful: he cannot deny himself.
Even if not one man on earth ever decided to accept Jesus as Saviour, Jesus would still have died for us, he cannot deny himself.
This is one of the most serious errors taught by Calvinism.
This is one of the most serious errors taught by you. You are saying that Jesus had to die. Why is that. Any Scripture to say why God HAD to give us UNDESERVED mercy?