dm4n,
Glad you were able to resolve the audio issues.
Strange how Kext Utility installed the BCM5722D.kext inside your IOnetworkingFamily.kext. I just looked at mine again and it is definitely in the main System > Library > Extensions directory and nowhere else. Just leave it alone as long as it loads properly, I guess.
My GPU (ATI Radeon HD 6670) was recognized correctly without any patches. QE/CI are all working smooth and everything renders as expected. It shows up in About this Mac as "AMD Radeon HD 6xxx 1024 MB" For what it's worth, the specific card I have installed is the HIS iSilence 4 H667PS1G Radeon HD 6670 1GB 128-Bit DDR3 PCI Express 2.1 x16.
Interested to hear how Clover works with your Mavericks installation.