The musical is a lot of fun but there are a few inaccuracies. For one, Alexander Hamilton would never have been caught dead being referred to as an immigrant. The real life guy hated foreigners and was one of the biggest supporters of the Alien and Sedition Acts, which prohibited immigrants from citizenship.

The musical leaves out most of his politics because it is focusing on his personal life, which is understandable but also leaves the impression that Hamilton was more liberal than he actually was. The actual liberals at the time, Thomas Paine, Aaron Burr, Thomas Jefferson, etc, all were not fans of Hamilton and thought he was dangerously close to a monarchist. In the show their opposition to Hamilton isn't really given much exploration.

The show also doesn't go into this as much according to Miranda, but some historians have interpreted it as giving more emphasis to Hamilton's anti-slavery credentials than the man really deserves.

So, aside from the immigrant thing, which must have Hamilton rolling in his grave, the inaccuracies are more what the show leaves out than what it keeps in.

More information: http://ncph.org/history-at-work/hamilton-the-musical-blacks-and-the-founding-fathers/ http://www.nytimes.com/2016/04/11/theater/hamilton-and-history-are-they-in-sync.html?mtrref=www.nytimes.com&gwh=E554CDBDF1F59B60412880C62100EB5A&gwt=pay http://www.slate.com/articles/arts/culturebox/2015/11/how_lin_manuel_miranda_used_real_history_in_writing_hamilton.html