Best way to integrate my vintage gear with modern.

I'm running a simple 5.1 with a Denon 4311ci for TV and movies, pushing JBL north ridge all around. I also run a Pioneer SX-1080, pushing 2 Klipsch RF7iis for my 2 channel that I prefer for music. I'm interested in attempting to integrate the Internet radio and Bluetooth from the Denon through the pioneers amp as I prefer the pioneers sound and high end speakers over the denon with the cheap JBL setup. Is this possible? How would I accomplish this without losing the 5.1 theater that my wife likes?