Answer:
The American strategy was that they wanted to take advantage of the fact that they were fighting on their own land. The British strategy was they wanted to take New York and sever the troublesome New England colonies from the rest. Britain's military was the best in the world.
The only British strategy that might had a possibility of working would have been a guns-and-roses plan: Annihilate the rebel army, declare amnesty, give the colonies Parliamentary representation, permit free trade without duties, and repeal the Proclamation of 1763 so as to open the West.
