I'm not a Calvinist, but even for me this is pushing the truth way too far. I can agree that obedience and holiness are necessary evidence of our love for Christ and God. But they're evidence of our faith and trust and Jesus, not the other way around. Your statement is putting the cart in front of the horse.
The verses you quoted from James say nothing about works leading to faith. They're talking about demons who believe that Christ exists but do not trust or love Him or show love to people.
They do say that dead works will not save us. God knows the heart of those who LOVE Him
(New Testament | Romans 8:27 - 30)
27 And
he that searcheth the hearts knoweth what is the mind of the Spirit, because he maketh intercession for the saints according to the will of God.
28 And we know that all things work together for good to them that love God, to them who are the called according to his purpose.
29 For whom he did foreknow, he also did predestinate to be conformed to the image of his Son, that he might be the firstborn among many brethren.
30 Moreover whom he did predestinate, them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified.
Works of righteousness are very important to the Lord:
(New Testament | Matthew 5:16)
16 Let your light so shine before men, that they may see your good works, and glorify your Father which is in heaven.
(Old Testament | Proverbs 11:18 - 19)
18 The wicked worketh a deceitful work: but to him that soweth righteousness shall be a sure reward.
19 As righteousness tendeth to life: so he that pursueth evil pursueth it to his own death.
We will be judged by our works:
(New Testament | Revelation 20:12 - 13)
12 And I saw the dead, small and great, stand before God; and the books were opened: and another book was opened, which is the book of life: and the dead were judged out of those things which were written in the books, according to their works.
13 And the sea gave up the dead which were in it; and death and hell delivered up the dead which were in them: and they were judged every man according to their works.