Barron Trump was a member of the Republican Party back in Power 1.0. He was appointed as the
Propaganda Minister by Heydrich after having created various propaganda images and video for the party; one of which is the new logo for the current Republican Party.
Politically, he served as the Governor of Kentucky for several terms before HHH started forcibly removing all non-Democrats from their seats via an exploit.
Despite coming from the Something Awful forums, Barron's right-wing views led him to join the Republican Party instead of the Goon-Dominated Democratic Party.