What different sorts of ideologies might have developed in the colonies as a response to their treatment by the British (taxation to pay for the French-Indian war, the British monopoly inherent in being a colony, no representation in Parliament) other than the radical Republicanism that took hold in OTL?
For my 2 cents, future decentralists might have developed a Libertarian style philosophy of personal property being the most important element of the law and taxation and centralized government being oppressive, unnecessary, and inefficient. Future federalists might have developed a sort of Continental fascism, feeling that things needed to be organized and controlled but by parties located in the colonies and interested in the welfare of the colonies first and foremost. Of course neither of these might be very plausible. There's the possibility of something developing that we could never think of (though we can try, and it's a fun exercise).