Alice could never be a PHB: she is too smarter and too much a productive member.
If she were hit by a truck, lost half her brain, travel back in time to be her own mother and lost her moral compass in the process then maybe, just maybe she would fulfill some of the requisites.
Ooops... PHB is volunteering for Fist of Death and harrasment suit's all at once.. A very Dum-dum stunt for PHB... Alice is not going to win againstthe gag response anytime soon either..
As for her and Dilbdert? They dislike each other - especially after alice interjected into a conversation between Dilbert and another gal , whom Dilbert was more interested in.
BritTim: "Mentoring," in this case, is "Being a lech" under an ultra-thin guise of social acceptability. The truly scary thing is that it sometimes works.