Carville is married to a (now former) Republican. To Carville, politics isn't really about any particular policy as it is about building your coalition and winning. Winning is first, and other things are secondary. He worked mainly with the now-completely-dead conservative Democrats, guys who were pro-death-penalty and even pro-life in some cases. He was known to say things like, "Nothing matters if you don't win." It's why is movie is called, "Winning is everything, stupid."
What has Carville completely bewildered is that the Democrats have sacrificed winning on the altar of ideology. To Carville, any particular member of your coalition gets their interests pandered to based on how much they contribute to you winning. In the case of trannies, trannies are a losing issue. Being anti-white-male is a losing issue. So, to him, it's obvious that you drop the tranny crap and man-hate so that you can win, because nothing matters if you don't win.
But of course, the modern Democrats are rigidly ideological, so they've organized their party against ideological fidelity, and seek to use mere tactics to shove unpopular messages and even less popular candidates over the finish line.