A bad look, but I seriously doubt the state department doesn't have some sort of plan for continuity of government.
Especially since, in critical difference with post-Hussein Iraq, no one in this administration seems ideologically opposed to working with the old guard, if they put on new colors.
Would be very surprised if the remaining elements of the government aren't put in temporary charge with guidelines (no killing protestors, freeing political prisoners, monitored elections on X date, etc.), then things are left business as usual.
With additional strikes if anyone tries to buck the system.
But higher placed members of corrupt regimes tend to be pretty pragmatic about their own skins when the winds shift, so I'd be surprised if anyone goes to the mat for a leader who's already been extradited.