Reagan was absolutely clear about his principles. His coalition strategy was to say to everyone, you are welcome to join us. We want you to join us. Just don’t try to change us.
Today’s republicans strategy is to say Please, let us join you.
THAT is precisely right, and your observation is the salient difference.
What is left to us is to heal the divisions caused by twenty years of moderation and compromise, wherein all of the conservative factions have been made to "compromise for the cause". That was never Reaganism. In fact, it is it's antithesis.
Those divisions must, by their nature, be resolved in the Judeo-Christians and the libertarians FIRST, because it is to that partnership that all the rest are inexorably drawn. That is the foundation, as Reagan defined it, because that is the foundation of America.
Goldwater was close, mind you... libertarianism must be the core philosophy, but without the Judeo-Christian ethic it is insufficient. Even as, btw, the Judeo-Christian ethic is insufficient without libertarianism to restrict it.