USA was founded well after the Pilgrims. I don't think anyone in 1776, or even in the Pilgrim days, was thinking a foreigner should have the right to vote for instance.
Who else didn't they think should have the right to vote in 1776, and was that the right call in your opinion?
As I said above, a law you have to tie yourself in knots to justify might be a bad law.
After the Revolutionary War, most US citizens couldn't vote. I don't think we should be using that time period for comparison.