The reality is that presidents (in almost every system), like MPs, are representatives of some faction of entrenched interests somewhere or another, or they wouldn’t get to be president.
It’s the same for dictators, and well pretty much any singular leader.
The factions may fight back and forth, and counting coup by imprisoning the figurehead for one of them certainly has some attraction - but the pendulum swings, and nobody wants to end up really getting punished at the end of the day when it swings away from them.
That’s how you get murderous resistance instead of (relatively) sane transfers of power.