If you are over 6'3 you are seen as an alpha male unless you are hideously ugly/weird/skinny...
If you are between 5'7 and 6'3, you can still be an alpha male depending on your looks/status and special skills you might have. Tom Cruise is 5'7 and he's an alpha male because of his face and money.
If you are under 5'7, you are beta or worse and there is nothing that will make people see you as an alpha. A 5'5 guy who is a multi-millionaire and has beautiful women hanging from his arms will still be seen as "that funny little man" and there is nothing that can change that. A guy that height cannot win.
SUCKMYMUSCLE
You're basing 'alpha male' status on bodybbuilding, muscle size and height which is ridiculous.....just look at military and political history, the 'alpha males' were the best leaders, the men with the best strategies, the best ideas, values or character that gained respect from those around them.
Without weight-training, modern supplements and diet a tall person is just going to be skinny anyway, they'd need more food to sustain and when times went hard they'd be the first to die.
In North Korea, in the times of famine the first to die are the taller people because they require more food.