The political platform isn’t a philosophy. There are plenty of libertarians who think the non-initiation of force principle extends to the unborn and therefore justifies laws against abortion. This is actually more consistent with libertarian principle than what’s stated in the platform.
In the interview Reagan sounds like a libertarian in a non-economic way when he says he believes only in self-censorship of the movie industry extending even to pornography. And he sounds libertarian in a non-economic way when he says he doesn’t believe government should protect people from themselves and cites motorcycle helmet laws.
Obviously he talked about economics too because that is a huge area of agreement between libertarians and conservatives.
No there aren't, that is why their party's platform remains eternally unchanged on abortion, libertarianism supports zero restrictions on abortion, just like the homosexual agenda and their desire to remove the Border Patrol and INS, and truly open the borders.
Reagan was no libertarian of course, with his strong military views and anti-gambling/prostitution examples in that interview, he did that even though he really was searching to win over that small libertarian group, that lonely little interview of almost 40 years ago, during a campaign. Even there, while speaking to them in a fatherly manner as to children, he distances himself from them.
You are right that conservatives and libertarians share economic views, that is why liberals who share economics with conservatives, had to come up with a new way to describe themselves to avoid merely being liberals, they call themselves "libertarians".