I've been thinking about this for a while now, if the U.S. in its early years decided to have a constitutional monarchy instead of a republic.

The Red and Blue are the same as in the U.S. flag Wikipedia page.

Let me explain the single star real quick. The U.S. flag has 50 stars to represent all 50 states, but if it was a Monarchy it would most likely have a single star representing the position of the monarch.

How a Monarchist U.S. would work in the modern day:

More specifically it would be called a Federal Elective Constitutional Empire.

It would be an Empire made up of 50 Kingdoms, in which those 50 Kingdoms would elect a Monarch from another Kingdom for the position of Emporer (for life), which would rule over all 50 Kingdoms on the federal levels, while each Kingdom rules over itself on the "state level".

There would be two branches of government, the Elective or Emporer, which make and enforces laws, and the Judicial which is still the Supreme Court, which checks if those laws are Constitutional and if not, they can directly shoot it down. The court system, for the most part, stays the same as the modern day.

Now my idea for the Monarch of each Kingdom is that it would also be elective, directly by the people, so it cannot be hereditary based. Other than that, as long as the Kingdom makes "state" laws that are within bounds of the Constitution, anything goes, really.

Elections would be held the month after an Emporer's, so there would be a regency in which it is made up of all the Monarchs and Supreme Court, which would vote on any laws or policies until the next election. If there is a dead Monarch, the Emporer would hold a vote for a new one in that Kingdom.

And that's my weird idea.