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These are entirely two different view of Grace (Catholic vs. Protestant).
Catholic "Grace" is not the the same concept at all of Grace that a Bible believing Christian knows has saved them from Hell.
From the link:
" . Once the repentant believer comes under divine grace, he or she will not fall away and be lost, there is no concept of law still standing over the believer, who is now declared righteous in the very court of Heaven. (John 10:27-29; Romans 8: the entire chapter; Ephesians 1:11-14; 2 Corinthians 1:21-22; 2 Corinthians 5:5). Even such recipients of God's grace as David and Samson were never rejected despite their considerable failings. 2. The grace of God covers all sins as long as one lives in a continual attitude of humility and repentance. (1 John 1:6-10; 2:1-2; Romans 8:1; 2 Corinthians 5:18-21). If one is arrogant and refuses to acknowledge, or repent of sins, this would simply confirm that such a person was never under God's grace. We may also see, then, that the Catholic has a much 'lower' view of grace than the Protestant, and a far higher view of what men and women can accomplish under their own steam! Catholicism also teaches a very high view of their own church laws and requirements, this is because they passionately believe that the keys of the Kingdom of Heaven were given to them alone (Matthew 16:19). From this authority they believe that their own traditions stand equal in importance to Scripture. But in contrast to Catholicism's numerous requirements, Paul writes, 23. Before this faith came, we were held prisoners by the law, locked up until faith should be revealed. 24. So the law was put in charge to lead us to Christ that we might be justified by faith. 25. Now that faith has come, we are no longer under the supervision of the law. 26. You are all sons of God through faith in Christ Jesus, 27. for all of you who were baptized into Christ have clothed yourselves with Christ. 28. There is neither Jew nor Greek, slave nor free, male nor female, for you are all one in Christ Jesus. 29. If you belong to Christ, then you are Abraham's seed, and heirs according to the promise.(Galatians 3:23-29).
"God saved you by his grace when you believed. And you can't take credit for this; it is a gift from God."
Ephesians 2:8
Every argument needs to build on recognized truths. When your initial premise seeks to build upon the falsehood that Catholics are not among "Bible believing Christians" there can be no acceptable proof of your thesis.
If you begin with a premise that the Catholic Church teaches a different interpretation of the Bible than your particular flavor of non-Catholic then we can build upon.
By the way, your link is a discussion of Justification, not Grace. As for differentiating Catholics from so-called "Bible believing Christians" would you care to expand upon the differences in the doctrines related to grace and justification between Luther, Calvin, Zwingli, Wesley, Knox, Arminius, Murray and Swedenborg.
Peace be with you.
And verse 9 gives the reason why......
9 not a result of works, so that no one may boast.
11 In him we have obtained an inheritance, having been predestined according to the purpose of him who works all things according to the counsel of his will, 12 so that we who were the first to hope in Christ might be to the praise of his glory. 13 In him you also, when you heard the word of truth, the gospel of your salvation, and believed in him, were sealed with the promised Holy Spirit, 14 who is the guarantee of our inheritance until we acquire possession of it, to the praise of his glory.