Where is that visible?

I feel one of the biggest sources of divide right now is coming from all of those who try to conflate the two. Agree or not, one can be opposed to mandates to the point of rebellion while still rushing to take the vaccine. They are two completely separate things.

Even if he was one cog actively in "the government", I still would say that nothing here shows "That the government is still visibly divided over whether vaccination is a good idea"

Some GOP members support these things. Many do not, as you mention the governors and reps.

To expect an entire group to form a single consensus is no different than expecting the entire American populace to form a single consensus, is it?

Politicians are also quite capable from detaching their personal beliefs from their public beliefs - Dick Cheney notably held to the party line opposing gay marriage while having an openly gay daughter. There are a litany of other examples of failing to practice what you preach - so yea, even if they privately hold these beliefs it's quite reasonable to assume that Mitch McConnell and others would be able to coerce them into falling in line when talking to the public.