No, faith is turning to the One Who we claim to trust, and follow all He says. It is not simply believing something that is true about the person. Many will do that and end up hearing "I never knew you."
We are not saved because we quit sinning, no man ever completely stops sinning while we are in this flesh. The scriptures say if you keep the whole law, but offend in one point, you are guilty of all. Good luck being perfect.
The false believers in Matthew 7 made your exact argument if you read carefully, but they were as lost as a doorknob.
Mat 7:21 Not every one that saith unto me,
Lord, Lord, shall enter into the kingdom of heaven; but he that doeth the will of my Father which is in heaven.
22 Many will say to me in that day,
Lord, Lord, have we not prophesied in thy name? and in thy name have cast out devils? and in thy name done many wonderful works?
23 And then will I profess unto them, I never knew you: depart from me, ye that work iniquity.
Note how it is emphasized that these persons called Jesus "Lord". It is said twice, and mentioned twice. If this does not describe someone who believes in Lordship Salvation I do not know what does. Calling Jesus "Lord" is not trusting him to save you.
These lost persons "worked". They prophesied in Jesus name, cast out devils in his name, and did many wonderful works in his name. Why then were they lost? Because they depended on their own righteousness and good works to save them instead of casting themselves completely on the mercy of Jesus and depending on him alone to save them. This is true saving faith.
The same exact thing is shown in the parable of the Pharisee and publican.
Luk 18:9 And he spake this parable unto certain which trusted in themselves that they were righteous, and despised others:
10 Two men went up into the temple to pray; the one a Pharisee, and the other a publican.
11 The Pharisee stood and prayed thus with himself, God, I thank thee, that I am not as other men are, extortioners, unjust, adulterers, or even as this publican.
12 I fast twice in the week, I give tithes of all that I possess.
13 And the publican, standing afar off, would not lift up so much as his eyes unto heaven, but smote upon his breast, saying,
God be merciful to me a sinner.
14 I tell you, this man went down to his house justified rather than the other: for every one that exalteth himself shall be abased; and he that humbleth himself shall be exalted.
The Pharisee believed in God, and he did many good works. But he was not saved because he trusted in his own righteousness.
The publican made no claim of being obedient to God. He confessed he was a disobedient sinner and cast himself solely on God's mercy. He went down to his house justified.
Just because you call Jesus "Lord" and do good works will not save you, you must cast yourself completely on Jesus and depend upon him alone to save you. Jesus does not need your good works to save you, he has done all the good works for you. He does not need your help at all, only that you trust him to save you.
You don't get it, the false believers in Matthew 7 were Lordship Salvationists.