I'll concede that in recent years, maybe since the Reagan years, there are fewer and fewer differences between the two primary polical parties in the USA. The Dems drift right to appeal to the conservatives in their base. The GOP drifts left to appeal to the liberals in their base. In the end, however, there will still be more liberals and more socialist-minded people found in the Democrat Party than in the GOP and there will be more conservatives and hard-line right wingers in the GOP than will be found in the Democrat Party.
I can't imagine a socialist who understands what that is and means ever affiliating with the GOP. And I can't imagine a true consevative who understands what that is and means ever affiliating with the Democrats.
As for who is the more fair and/or socialist in their views and votes on taxes, that would make an interesting thread.