I used to love Rush up until the Moving Pictures album but from that point they seemed to be employing more and more keyboards and lost their rock edge. I believe some of the recent albums have seen them returning to their roots - they were heavily influenced by Zeppelin (particularly when they started out). I love Bonzo and Peart as drummers although their styles were completely different. Peart used a massive kit and also percussion such as timbales, glockenspiels etc and his playing was technically very tight - his timing was near perfect. Bonzo used a smaller kit but he was a power house - his bass drum sound was monstrous and the overall effect was really impressive.
I'm sure Bonzo would have known about Peart and I would be surprised if he didn't respect his technical ability - virtually every drummer I come across puts him in their top 10 drummers