The party in Reagan’s time had moderate/liberal backstabbing republicans like Packwood, Specter, Weiker, Heinz, etc. who hated conservatives and their influence. Specter said he wasn’t voting for Bork and all the others hid behind his filthy skirt.
Good riddance to people who believe in liberalism light, who vote for every appropriation increase, tax increase, and debt ceiling increase.
There were disagreements, sure, but was it really hatred? Weicker was an onery SOB, but Reagan was able to work with Packwood to get his tax laws passed. Whatever Packwood thought about conservatives, I don't think it translated into a personal hatred for Ronald Reagan.
Reagan didn't let liberal Republicans get to him. For one thing, he could offset defections with support from moderate or conservative Democrats who were still in Congress. Also, those liberal or moderate Republican defectors didn't always bolt. For example, they might have been liberals on social issues, but willing to go along with Reagan on taxes or defense policy.