GOP investigated Jack Valenti's sexual orientation

This story, from the Washington Post, is about how J. Edgar Hoover apparently had the FBI check out whether longtime motion picture lobbyist, and former Johnson administration official, Jack Valenti was gay. But as an aside, the article mentions that the Republican party also hired a former FBI agent to investigate Valenti's orientation. We always knew Hoover was a creep, but that the Republican party was, well, bedfellows with J. Edgar Hoover is interesting. Though perhaps not surprising.

As an aside, Nixon named the then-new FBI headquarters after Hoover. Tell me again why that name isn't finally being changed?