Yes, the Eisenhower Administration in particular was rather RINOish.
Don't forget that during the first three years of the 1950s, Truman was president and the US was experiencing military casualties at a much higher rate in stalemated Korea when compared to Iraq and Afghanistan combined.
But, contrary to your post, Republicans actually did control both houses of Congress from 1953 to 1955.
That was only 20% of the decade. The best part of the 1950's was January to June, 1953, when Bob Taft ran the Senate. His successor, Bill Knowland, wasn't as competent, and after 1954, LBJ ran the show.