No, it's an adventure game. Don't get me wrong, I really like the occassional shoot-out, but shoot-outs when they don't even make sense are a big no-no in my book.
However, the game looks really good and plays beautifully. Not really sold on the shooting mechanics but the climbing and platforming elements are mostly solid, although sometimes weirdly awkward when just having played Assassins Creed, but overall the experience is top notch. Especially the intro was like a huge-budget movie, good stuff.
I'll try to get through this part tomorrow, I'm happy as long as I can play to the next cutscene, those are brilliant.