Could you define for us how you define faith? Is it a mere intellectual understanding that God exists, or is it a faith which is active through charity and love?
I’m not Benny12 but I would like to answer this question. You are correct, Catholics and Non-Catholics have different definitions of faith.
Traditionally, Non-Catholics hold that there are three different types of faith/belief.
One is an intellectual understanding and belief that Christ is who He says He is. As Reformed Theologian, RC Sproul put it, “If you have this kind of faith then congratulations, you qualify to be a demon”.
A second kind of faith is an emotional faith/belief. This is a faith that is great as long as I feel good about it. But when things get tough or it no longer “feels” good and the emotions fade, then the “faith” fades as well.
The third kind of faith is a “saving faith” or a “living faith”. This is a faith that comes not from intellectual understanding or emotional reactions (although those things can and do accompany a saving faith) but instead comes for a work of God through the Holy Spirit on the heart of mankind. This faith causes a fundamental change in our hearts and desires, which causes a fundamental change in our actions.
So when I make the claim we are saved by “faith alone” I am speaking of a living faith that manifest itself in works of love and seeking His Kingdom and His Righteousness.
Non-Catholics do believe in performing works of love and seeking righteousness. The big difference, (as far as I can tell) is the we believe works of love and seeking righteousness is both caused by having a saving/living faith and evidence of having a saving/living faith. We don’t, however, believe that works of love and righteousness contribute to or improve our standing before God. We believe that it is the righteousness of Christ and His sacrifice that saves all who are given the gift of faith and eternal life. Any righteousness we achieve in this life, however good and noble, is still short of the mark needed and required for eternal life. Therefore we rely on Christ alone and not Christ and ourselves for our salvation. We are saved by Christ, not Christ plus our partaking in the sacraments, not Christ plus our gifts to the poor, not by Christ and our preaching the Gospel and so forth. And while we do those things, we do them not in order to “be saved” or even to maintain a salvation that we have previously received, but because we have “been saved” and those are the means of grace that God uses to grow our faith into maturity, spread His Gospel on the Earth, and most importantly, bring Glory to God.