More important in what way? As a guide to salvation? Yes. Witnessing to others? That is up for debate. Sometimes our actions can insult or upset someone, possibly make them feel convicted for something and that can open up their heart for discussion with God, but that seems to be a rarity, and in fact people just grow angry.
As a Christian it is important to note what faith is. When we speak of faith, most consider it to be, "Oh, yeah, God, he exists." But that's now what faith meant originally. Faith was originally based on the fact that everyone already knew God existed and faith was used to exemplify that understanding, to live a life worth of God.
So, I just pointed out that, "Whoa, living a life is a work therefore it is more important," but doing that work is caused by faith.
So, let's take it a step further, Ephesians 2:8 makes the point that doing works can, and we know it does, lead to boasting, thus we are not saved by works.
Also, on this same concept of doing works to appear one way, but have the wrong heart, Jeremiah 17:9 makes the point that our hearts are deceitful and we may do things to appear one way, but our heart is twisted toward another direction.
This reminds me of the point of Judas ridiculing the woman who poured out her perfume upon Jesus's feet. He screamed and raved that that was expensive perfume and she could have sold it and given the money to the pour (works) but her faith had her pouring out that perfume upon Jesus's feet as a sign of giving up her life and laying it before him (faith) since perfume was perhaps the most important tool a strumpet of the era would have, as she poured out the perfume she was literally giving up her livelihood, big deal!
Isaiah 64:6 points out that any righteous deeds we do, since we are of a sinful nature our deeds are just as unclean.
There is an interesting addendum. Because of our faith, the spirit will fill us and when the spirit will fill us, the works are the fruit of the spirit...Thus our faith leads into works (James 2:14-26).
Titus 3:4-5 explains why and how we are saved, yet once again.
It has no inherent worth. In fact, I have no idea how blind credulity became seen as a virtue in our culture.
The fact that so many denominations in the Christian religion claim that it doesn't matter what kind of person you are, but simply whether you believe in "god and Jesus" that matters is ethically questionable and pretty sick, really.
I think that's a false dichotomy. As a Calvinist, I think works follow inevitably from faith. Faith is important because it entails works. Works are important because they prove faith. Faith and works are also both important for different reasons. Faith is important because it leads to salvation. Works are important because they make the world a better place.