What you have to do is group all the tracks together. So when you cut the kick drum, you are also cutting the rest of the tracks as well.
Then when you move things around, you move the bleed as well. Of course, if the drummer was supposed to hit two things at the same time and he didn't, you are pretty well screwed. But if that is the case, you really don't have a performance worth fixing. It would be much less work to simply program the drum part and use samples.