I'd argue that this was a very, very different brand of republicans you had then compared to the current breed, which seems to lack any rationality, whatsoever.
I actually don't know much about that period of US history, but certainly Goldwater counts for both a "conservative" military hawk and a libertarian. And domestically Nixon was quite liberal.
Basically, there's been "liberal" and "conservative" strands in Republican party history for more than a century, continuing to this day. Things don't map out in simple ways, e.g. the first post-Snowden House vote on those issues didn't split along any recognizable patterns I could discern, party, region of the country, etc.