But, historically, strongmen/chieftains have not had incredible trouble keeping their goons under control. Most threats from from palace coups not popular revolt. Most normal people in uncertain times like order and aren't going to flip the table on a system that gives them stability, food and shelter.
My recollection from Roman history is that was certainly a part of it, but that 'I command the palace guard, so I should command the empire' also played a large role.
Just pay them well enough. Or pay the people at the top a good amount of money to keep the people below in check and have some hope you can rise to the top for a small portion of the people.