Well, just to nit-pick, on the NEW exam, they ask what war Eisenhower was in, and list WW II. He was also in WW I, and Korea (came back from retirement in 1951 to head NATO)
President IS elected by Electoral College. When you vote, you are actually voting to direct who the Elector is to vote for.
Govt Jobs? HAH! Being a member of the US Military is a govt job, and you do not have to be a citizen.