You forgot to answer whether they can vote.
I don't know. Are they citizens? What state are they in? Have they ever been convicted of bigamy or timber larcency?Are they registered to vote in federal elections? Are they registered to vote in state and municipal elections? Is it a primary election? A general election? Is it a caucus? What kind of identification are they carrying? Are they voting absentee? Are they casting a provisional ballot? Are they registered in the same party as the candidate they're trying to vote for? (Caution, that last question is state dependent.) Do they have a violent felony conviction? Have their rights been restored? Are they 18 years old or older?
Or were you talking about whether they could vote in your hypthetical, but not yet completely realized, national hegemony?