They're in favor of it. Trump isn't some anomaly outside an otherwise respectable party, they're all fascists. The only thing different about Trump is he's worse at hiding it.
Republicans believe in hierarchy. If that means placing a dictator at the top in order to achieve the desired hierarchy, then no. They’ll be fine with the means needed to achieve the desired ends.
They care in so much as that they would love to be aristocrats in a fascist society where they could have people killed at their whim with no repercussions. Rape and groom as they like using the leverage afforded to them by the first power. And rewrite history to their own imagination so as to never feel guilty about any of it.
If you still think Republicans will ever give a shit about anything Trump says or does, you should probably have a doctor look into whatever head injury is causing such delusions.