I used to be as well. I didn't read Bugliosi's book, but I came to disbelieve the conspiracy stuff because it was either far-fetched BS, or the conspiracy buffs were being disingenuous about their "facts". Maybe I'll read that book (if it hasn't been banned yet).
It is a very long read. There is one glaring hole in it for me that I wish he had addressed: “Appointment in Dallas” by Hugh McDonald. I still have that book and McDonald was an extremely well credentialed person. His story was not disputed by Bugliosi, only ridiculed.