Ronald Reagan appointed Antonin Scalia, who recently passed away, to the Supreme Court during his administration. Scalia got an early start as an advocate for the Republican Party. The NYT reports that Scalia was in a debate at age 16 in which he argued that the Democratic Party was weak on Communism. He claimed that its foreign policy had allowed Communism to spread across the world. He also argued that US prosperity under the Democratic Party was due to a war economy.
Its easy to understand how Scalia grew up to be a rabid Republican and a future appointee to the Supreme Court in the Reagan era.
The GOP won the presidential election under Dwight Eisenhower. He was not an opponent of big government. Eisenhower was responsible for the development of the interstate highway system.