To each their own, I suppose. I think it would get old pretty fast, and being an asshole is not something conducive to loyalty, so if his crew develops any affection for him, it would probably need them to be cynical assholes who emulate him or yes-men.
When I say toned-down, though, I mean he grows as a person, not that he is reset to a less dickish base. I'd also like to see an exploration as to how someone with his severe emotional imbalance and PTSD got to where he is. Maybe we can truly unravel the evil admiral trope.
Huh. Maybe Shaw was put in charge by changeling infiltrators to have Starfleet captains be as unstable as possible...
Either way, I'd much prefer he be a supporting character than the lead. I understand people like him, but he hasn't really impressed me as a character I want to see stories revolving around beyond as part of an ensemble.