I think Walker and Kasich (and to a lesser degree Snyder) knew that they would probably be one-termers anyway, so they are trying to ram through as extreme right-wing an agenda as possible before they are up for reelection.
Kasich I could see losing, but Walker and Snyder especially appear to be headed towards re-election.
Ohio governors have historically been re-elected.
I'm sure Ted Strickland is a good example of this.
He actually is--He only lost by a few points in 2010 despite the rest of the statewide ticket getting utterly destroyed. Ohioans do generally like to re-elect their governors in most cases, but in 2010 the Republican wave was simply too large.