> I think hallucinogens might "turn the dial" on our quantum consciousness and "tune you in" to different parts of the signal, possibly meaning they can "entangle" the quantum structures in our minds with persistent information structures present somewhere.

I'd be interested in a quantum theory where this statement made sense, to be sure.

Penrose's ideas about quantum consciousness are widely challenged and not the mainstream, and his basing it on the Incompleteness Theorems is especially problematic, as those only even make sense in the context of certain kinds of formal systems. The later Orch-OR theory has been falsified, in fact:

http://philsci-archive.pitt.edu/3049/

https://www.pnas.org/content/106/11/4219