I think you overestimate the numbers here, and therefore the speed at which this will happen.
It will take a generations at a higher reproductive rate for them to take compete control of our country independent of the left.
Even if they imported their entire population there is simply fewer of them than there is of us. But they don’t need a majority merely small numbers to shift the balance of each elections sliding us into a country very much like the hell hole from which they came.
I sure hope you are right but with the 10 to 20 million illegals already here the vote could turn really fast. Even though we know many of them already vote illegally I am pretty sure a vast majority of them do not. If the Dems can somehow get them signed up really fast we could see trouble.