I went a punk concert last night (I really, really don't like punk and my ears are still ringing), and experiencing this form of music can only make me a better musician. For instance, I learned that a good punk player can play DAMN fast. Not single string blurs like artists of my preferred style, but palm-muted, low string "chunking" type of stuff. It impressed me. I thought "Man, if I showed this guy some stuff he could be a vicious shredder".
Moral of the story, be mature about it. You don't have to embrace the new scene but try and learn from it.