Perhaps a rule would be in order requiring the opposition party to make 50% of the nominations, you know just to ensure fairness and equity.

Except that two-party rule isn't required in the Constitution. In fact, Jefferson really wanted to avoid that. But how it is structured at both state and federal levels means you'll get only two dominant parties. There can be, and are, other parties. But they're insignificant, amounting to a few percent.

I won't speak for anyone else, but I don't think people are suggesting appointing people that don't adhere to the winning party's agenda. I think what everyone wants is an independent civil service, not one of fealty to the "leader". Same for the military. A partisan civil service, and officer corps, is a recipe for very bad things.

As a side note, a little bit of history: the German military oath of service was changed after Hindenburg died, and the Chancellor took over. He promptly abolished any remnants of the Weimar (the Reichstag had burned down a year earlier), and the oath was changed to swear allegiance to the man, Adolph Hitler. Not the nation of Germany.