Interesting.
I've seen us blamed for lots of issues over the years, but never breaking Q menu access.
I'm tempted to play forum 'god' and ban you.
Fortunately for you, I'm a forgiving forum god, for now.
Khriss, blame us all you want.
I'm not saying ULib isn't involved in some way, I'm simply saying, in agreement with much of the rest of the community, we're likely not breaking your Q menu.
ULib and Gmod sees you as the required group. That's it - we're not involved anymore. Nada.
You had 165 addons.
I don't think you removed all of them.
Something is still likely conflicting.
Backup your data/ulib and data/ulx folders if you want.
Start from scratch, blank folders.
Install Gmod server, ulib, and ulx. Nothing else.
Re-install Gmod client.
If after that, you still can't use Q menu, let us know.