Seven Year's War

I though it was interesting to hear about the Seven Year's War that we also call the French-Indian War this week. I found the contrasting styles used by the French and British to be of particular interest. It seems that when the war began the French were more willing to employ the use of Indian allies in fighting the British, and were successful even though they had less troops than the British, because of their Indian allies. When the British first sent troops under the command of Braddock, they refused to work with the Indians and were slaughtered by the French and their Indian allies. Once the British finally switched stragies and formed relationships with some of the Indians they were able to defeat the French.
I wonder how different post-Seven Year's War and even post-Revolutionary War America would have looked had the British continued to build relationships with the Indians instead of abandoning the practice after the Seven Year's War concluded.