The Republican and Conservative fetish with liberal elites is rather silly. A non-issue.
There once was a time when the moneyed and intellectual classes were socially liberal and do-gooders. They contributed to the arts, hospitals, universities, but they also supported increasing social services and civil rights.
In New York City, the congressional district that encompassed the East Side Upper East Side of Manhattan was known as the silk stocking district. It was reliably Republican forever, except for the brief period Ed Koch held the seat. It turned Democratic after redistricting put two white working class neighborhoods in Queens and Brooklyn in the district.
During the Vietnam War, the Nixon administration began to demonize eastern liberal intellectuals, many of whom opposed the war. The white working class continued to support the war, which caused a cleavage in the Democratic Party. Well to do liberals also were big supporters of increased welfare, busing, and other social programs that did not sit well with white, working class voters.
Ultimately, though, Republican anti-intellectualism didn't leave much room for moderate to liberal, well to do voters in the party.