It's happening worldwide. LGBT hitched itself to W.E.I.R.D. liberal democracy, and most of the world sees that as a bad thing so they lumped LGBT in with what they oppose.
I don't think the Republicans are influencing Uganda, for example.
@abreaction I'm afraid you're quite mistaken about the Republicans not influencing Uganda. Abundant documentation shows us that Republican-backed, U.S.-based groups have bombarded African nations for years now with hateful anti-LGBTQ propaganda.