Solved with Mac Catalina update

I just installed Catalina and now everything is working fine.

Installing Glyphs should have absolutely no effect on Adobe Illustrator. Something on your system is causing this.

I have never seen anything like this. The presence of Glyphs in your Applications folder is unrelated to AI’s font menu. Therefore I also tend to think there must be a different reason.

And what do you mean by your fonts? The ones you installed in the Adobe Fonts Folder?