> I guess in terms of USA that would be like Democrats and Republicans coming up with a president.
That's totally normal, and happens in a lot of places. For instance, in Canada, you vote for your local representatives (MPs), the party that ends up with the most MPs (roughly speaking) gets their leader installed as Prime Minister. Then, of course, the Head of State is actually the Queen who's represented by the Governor General, who is in turn nominated by the Prime Minister.
That's totally normal, and happens in a lot of places. For instance, in Canada, you vote for your local representatives (MPs), the party that ends up with the most MPs (roughly speaking) gets their leader installed as Prime Minister. Then, of course, the Head of State is actually the Queen who's represented by the Governor General, who is in turn nominated by the Prime Minister.
None of that matters, of course, wrt: freedom.