Not true at all. There was an organized KGB directed communist campaign all right. But it penetrated high level government agencies. In most ways it was successful from the late 40’s to mid 1970’s.
McCarthy’s targets were mostly organized labor, entertainers, academia, and Jewish and black advocacy groups. Traditional American liberals. Most Americans were indifferent to these attacks. It wasn’t until McCarthy went after the military that people really got steamed up over his antics.