Yes of course Limbaugh and Beck express the same views in private as in public. Consistent hypocrisy demands exorbitant levels of imagination, energy, and cynicism. Much less exhausting over time simply to bring your private views into alignment with what you are paid to say in public.
Let me put the thought experiment slightly differently however. Suppose an agent arrived in the offices of Limbaugh/Beck/Hannity/O’Reilly etc. with an offer. “I can guarantee you a deal that will pay you twice as much - bring you twice as much fame - and extend your career twice as long - if you’d say the exact opposite of what you are saying now.” Which of them would sign?
My nominations: O’Reilly accepts for sure. Beck likewise almost certainly says yes. Limbaugh would want to think it over, but would ultimately say no. Mark Levin: certainly not. Sean Hannity would need the offer explained a few times. Ann Coulter - that one puzzles me - but probably no. Roger Ailes? Do you even need to ask?
I can't grapple with Coulter either. I assume it's an act. But it could be an act that has become so internalized it has become her. Poor, lost soul.