Plausibility Check: Thomas Jefferson, First President of the United States

Watching the National Geographic Channel, I had an idea. What's the possibility of someone else becoming the first president of the United States? In this case, Thomas Jefferson. What kind of POD would this require? And how would history be different because of this?

A consequence I imagined, would be Jefferson being revered today in much the same way as Washington, maybe leading to a different overall mindset. Washington was, afterall, associated with the Federalists, influenced by Alexander Hamilton.
 
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