Keep Alexander Hamilton on the $10 Bill

It has been announced that the first woman since Martha Washington in 1896 will appear on US paper currency. This is a great movement as women are widely unrepresented in our currency system.
However, Alexander Hamilton is the most American forefather we have. He was co-author of the Federalist papers, Revolutionary War Staff aide to George Washington, and the first Secretary of the Treasury! Hamilton is the embodiment of the American Dream rising from poverty to prominence in the United States all on the basis of his merits.
Andrew Jackson was responsible for a great harm done to the Native American people of the United States, allowing the Indian Removal Act be passed into law during his presidency in 1830.
Proposal: Remove Andrew Jackson from the $20 bill. Place new woman on $20 bill.