I was around for all of these presidents, and I don't remember even a "nattering nabobs of negativism" from Team Reagan (although I'd be happy to be corrected there), let alone declaring that opposition was inherently illegitimate and the organs of the state then acting in congruence with that.
Reagan was focused on two particularly broad things, that I'll also note were stunning successes: rescuing the economy and government fiscal situation (e.g. the prime rate was around 20%), and ending the Evil Empire. Both required working with Democrats in the Congress (Republicans only held the Senate in the beginning) and in the permanent bureaucracy.