As I recall, Bail was the Senator from Alderaan until Leia became old enough to take his place, then he became the Viceroy of the planet.
Let me hop on CUSWE and check:
I was slightly wrong:
QuoteSo he was both until Leia was became Senator.
After a lot of political backstabbing and lobbying, the Old Republic was called in and, with the help of the Jedi Knights, finally decided that the Organa family were the rightful successors to the seat of Viceroy. When Bail assumed the title of Viceroy and First Chairman of Alderaan, he also gained a seat on the Imperial Senate, and was soon engrossed in the new form of politics being played by Senator Palpatine and his supporters.
I should also point out that in Ep1, 'Queen' Amidala was elected.
You are applying Earth (actually, they sound more like American) standards to that of the rest of the "galaxy". Nothing in Star Wars says that every world must comply with our political standards.
If you really want to make insinuations about Lucas' political motiviations, point out that the name of the "evil" leader of the Trade Federation is Nute (Newt, as in Gingrich) Gunray (reversed Raygun...or Reagan).