Oh, you were serious. I thought surely you had to be kidding, drunk, or otherwise incapacitated.
Would Fulmer want the job back? Yes. There were some reports that he was politicking for the job during the search.
Why wouldn't it work? Let's just put it this way. Fulmer is no Bill Snyder... and UT doesn't play in the Big 12. Fulmer may have never been as good of a coach as he was given credit for. He got a massive gift vs Arkansas in 98 and otherwise thrived in the SEC while several of the current powerhouses were down and none of the also rans were nearly as good as they are now.
He WAS a good politician and recruiter in his time. That is no longer enough.
It is folks like you that continue to promote this myth that Fulmer was a victim of something other than his own failure, pride, and lack of ability.
He allowed the program to decline from 98 to 05. The rest of the SEC got better and his records started to suffer. The game both in recruiting and on the field passed him by while he stubbornly refused to change with it. He continued to hold on even as less and less quality recruits were willing to listen to him. He left an absolute train wreck that Kiffin and Dooley tried to deal with... and that Jones will still have to repair.
It is only the blindest of the Jonestown kool-aid drinkers that would take this notion serious much less want it to happen.
To summarize an objective evaluation of your post:
