I suppose that you mean to refer to British General "Hair Buyer" Hamilton. Bravo for the distinction of having an American ancestor who was a captor and escort of that scoundrel.
The Indians paid dearly for their support for the British. After the Revolution, Americans regarded Indians as an existential menace on the frontier, to be marginalized or eliminated when possible.
Actually, the Indians had already ceased to be a relevant force on the Eastern Seaboard as early as 1648 when about 95% of them died. The Iroquois barely maintained political existence ~ fortunately for them they had rights to TAKE Mingo children to raise up as warriors, and did so. The numbers were modest ~ in the tens of thousands.
Really angered the remaining Indians West of the Appalachians Fur Shur.
The wars against/with the Indians that follow 1648 reflect the rising strength of the Old World populations ~ the fact the Indians lost them all reflect their loss of strength. The Iriquois were no longer able to fight the Mohicans, and they'd had that war going for several hundred years. The conflict predated the Iroquois Confederation ~
i think Indians were better known for not even being around than anything else. They were viewed as easy targets after 1648.