As a REAL drummer, I know for a fact that Travis Barker is not that great, and that kevlar coated snare drum he was playing on was the same style that my highschool band uses, it's all really standard stuff, just impressive to the untrained eye.
The second video is ridiculous, he looks like he's about to crack all of those cymbals, and those drum heads. And the hi-hat beats are simple really, fills as well. He really just hits the drumkit very hard overall.
Don't idolize a mediocre drummer please.