And we vote for them, Sugarlips.The president is elected by 538 members of the Electoral College.
Review: US **CITIZENS** vote for the head of state (the POTUS) via our resentatives, and all members of our "parliament". All of them, in both houses.
You,*subjects* of the monarch, are allowed to vote for the minority of members of your parliament, your larger house is appointed by the monarch- who is the head of the state church- and included among the appointments made by the state church, and of course, the entire government can be dismissed by the monarch for any reason.
PS: We have a constitution.
You find yours yet?