The vaccines were released with emergency use authorization, nobody can mandate you take them, it is voluntary. If you don't want to take it don't. If people are stupid enough to take a experimental vaccine that killed all the lab specimens with past experimental trials, let them. There have been plenty of warnings against the possibilities of side effects, if you take it, you assume the risk.
If Trump let them roll out these vaccines on a typical timeline for the FDA you could bet it would be mandated in years to come and our economy would be destroyed in the interim.
Trump does things for a reason, he tells you as he is doing it. He made a very big deal about Operation Warp speed and it should have been a clue to all of us that it was the best approach.
I can be removed from emergency authorization in that same time frame of a couple years and made mandatory anyway. Pushing an EUA "vaccine" though operation warp speed did not slowdown or discourage any future requirements. Frankly, the bigger problem most of us have is not the availability of the "vaccine" but his outward encouragement of people like us to take it.
Suppose your theory is accurate, what's the use in openly calling for us all to take it?