You will not need a carnet for this trip and you will need to keep the bike legal in the UK you will also need US insurance which will I believe covers you in Canada, trying to get Canadian insurance can be expensive I am told.
I am not sure about what US customs will say about a US citizen on a UK bike but when I crossed the border into the the US from Canada and Mexico they just checked the bike was not stolen, I am a UK citizen on a UK bike, I was not issued with any temporary importation permit or anything else for the bike so keeping it there for a longer period was not a problem.
I had my insurance with Progressive who when I put the vin number in asked "is the Correct?" as it was not on their data base of US registered vehicles and I answered yes and I was issued an insurance certificate, it should be cheaper for you with a US licence.
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