Yep, there are driving sections. There are races and you get your own car at the start of the game which you can upgrade and customize, but that's not what the game is based around.
I don't like when people say it's like Fallout... It's like when people would compared Two Worlds with Oblivion. Saying that it looks like a rip-off of Fallout is like saying Fallout is a rip-off of Mad Max or any game with demons is a rip-off of Doom. Besides, this seems like it has a hell of a lot more action than Fallout 3 could even dream of.
As for me, this is my most anticipated game (along with Doom 4). It looks great and it's by id Software. I'm glad id is bring something new.