Doubtful
When I first heard of this, which was pretty recently, I figured I might go see it, because I like The Rock, and I'd like for him to have a good career. I try to support actors I like. And Doom was and still is my favorite video game. Doom and Heretic were the first games I ever played on a computer. I miss DMing with my pals on Doom.
Then I learned the creatures aren't from hell; apparently, they're some sort of Resident Evil bio-mutant rejects. That shook my enthusiasm a little bit, but I figured I might still get my rocket-launching cyberdemon and spider-mech guys, so if I can afford it after seing Serenity a couple more times, I'll go.
Then one of you people pointed out that it's directed by the guy who directed Cradle 2 the Grave (and apparently Romeo Must Die also). Now, I think I might rent it, but it's more likely I'll wait until one of my friends buys it, and then I'll just borrow the copy. Romeo Must Die was Crap, but Cradle made me weep for Jet Li and Marc Dacoscos. And I just can't support the guy who made that happen.