Even when France was a kingdom or an empire, both of them stay allies, -(after Bourbons helped them to become independent and Napoleon Bonaparte sold them Louisianna).
The USA and Modern France follow the same model the enlightenment idea and share a lot of common value and more importantly France helped them to become independent. We could easily saw why both nations remain allied, but as stated before British and USA share also many values, although two huge problems prevent warmer relation, the UK after the war still holds many territories claimed by the USA, straining the relationship between the two power and more importantly the pro-french party managed to become prominent after the Washington presidency.
In my opinion a longer independence war could solve all the problem, the USA will be able with a long war to take more territories and more pro-English territories strengthening the pro-English party at the same time it will decrease french finance, pushing the country to increase even more their taxes and allowing to the radical revolutionary to take the power. If a guy as Robespierre holds the power, the USA will want to avoid a connection with them and would be forced to improve their relationship with the British.
Without the quasi-war between British and the USA, and with insane french republican, France will not be strong enough to conquer a good chunk of Europa, and British will be able to hold their colonial empire longer. however it will be a USA screw, I mean they will never be able to conquer a good part of Canada, maybe they will try to expand in Mexico instead?