I have read that as well. But, so does Denzel Washington (think about it, have you ever seen Denzel even "kiss" a woman on screen? Not very often.), and it doesn't seem to have hurt his career at all.
It really irritates me that an an actor with the body of work that Caviezel posses, can't get any of the bigger, more coveted roles in Hollywood. There is a Hollywood "blacklist" for conservative minded actors and this is just added proof.
But, Denzel has only said he won’t do nude/sex scenes if they don’t fit the movie while Caviezel specifically said he won’t do them at all because he’s married and won’t disrespect his wife. If he’s that conservatively-minded, there are probably many ways he refuses to play the Hollywood game.
Couple that with his pro-life stance and you probably have your answer.
Don’t get me wrong. I’m on your side. He’s one of my favorite actors and one I can actually respect. I’m glad he can go to sleep at night with the comfort of sticking to his convictions.
Someone with some money needs to fund a studio that would employ these talented, blacklisted, conservative actors and make movies people would actually go see.