Right Era, Wrong Villain

I was watching a documentary on the making of the original Planet Of The Apes. It went into the background of screenwriter Michael Wilson, who'd been blacklisted in the 50s.

Maybe I wasn't listening closely enough, but I thought I heard them say Senator McCarthy was behind the HUAC hearings where Wilson got into trouble. This can't be right, can it? I mean, McCarthy was a Senator, and HUAC, obviously, was in the House.