Tillerson Lobbied For Gay Youth in Boy Scouts: https://www.cnsnews.com/blog/michael-w-chapman/trumps-sec-state-rex-tillerson-lobbied-gay-youth-boy-scouts
I can see how a socially leftist guy like Tillerson would take issue with Trump's excellent speech. It's disheartening see Swamp rats like Rex (and Kelly and McMaster and others) surrounding the President.
Remember, Reagan put a lot of liberals around himself too, including Howard Baker, Ken Duberstein, Michael Deaver, James Baker, III. Ed Meese was one of the fairly few voices of conservatism.