> But she wasn't.
Only thanks to the US's Electoral College system, otherwise she would have been President. The matter of fact is that more Americans have voted for Hillary than for Trump.
And going back to the US President's powers, as far as I know the last few wars in which the US has been involved happened without the preliminary Congress approval. Starting a war without the Congress's/Parliament's approval is a royal prerogative since at least the Middle Ages.
> Russia is a de facto monarchy,
Russia is a light-ish dictatorship (people are not sent to the Gulag, yet) which might turn into a tyrant regime (assuming Putin keeps his power and goes crazier), I wouldn't call it a traditional monarchy.
> the United States is a Republic in every way that matters
The Roman Senate survived until at least 400CE (or around that time), meaning 4 and a half centuries after the "de facto" disappearance of the Roman Republic (even more if you go back to Sulla). Thus means that the fact that the US Congress is still around and from time to time likes to play contrarian games doesn't actually mean that the US Republic hasn't lost its original "status" (not an English native speaker, maybe I'm wrong on this word).
Otherwise I can't understand how Obamacare has stood up against the Republican Congress's will.
> His trade deal (TPP) is likely not going to be approved thanks again to Congress.
Had Trump been pro-TPP (or pro-foreign trade in general) I'm 99% sure TPP would have been voted in.