If the Axis had succeeded in winning WWII. Their influenced may of certainly caused no such show as "Stat Trek" to be created and most certainly no stars of Leonard Nimoy and William Shatner to be involved in such a show, both of Jewish
So, this whole discussion would become mote.
However, if we were to proceed and assume a future in a 'Star Trek'-like universe. One would need to imagine a justifiable
continuity leading from the Third Reich dominance of Eastern / Western powers into the eventual evolution to some such established world government of "equality" between the nations.
But with out a over throw / radical restructuring of the Nazi Regime, the influence and strong heavy-handed approach would not subside.
In such a case we should, all being equal have a future tyranny, equivalent to a historical one; a fascist Federation. A coalition of the conquered, if you like; by an Imperial Earth.