Eisenhower was a republican before the conservative military hawks entered the republican demographic (resulting after Nixon's Southern Strategy[https://en.wikipedia.org/wiki/Southern_strategy]) so they were the progressive and liberal republican party. More closely linked to a libertarian ideology of the time and would be likened by most modern liberal democrats.
It's not that simple. E.g. how would you score Teddy Roosevelt, who was both a progressive and a "conservative military hawk". Vs. William Howard Taft, who per Wikipedia had a "domestic agenda [that] emphasized trust-busting, civil service reform, strengthening the Interstate Commerce Commission, improving the performance of the postal service, and passage of the Sixteenth Amendment" (income tax) but had a less bellicose foreign policy?
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.
