While most of have rightly pointed out the British beating the stuffing outta the 13 colonies as a result, I point out that the British forces would be more likely to be more of mop up than arsekicking: Despite US perceptions to the contrary, the population of those colonies overwhelmingly saw themselves as first and foremost, British.
In sum, such an act would provoke the populations of the 13 colonies against the rebels almost as much as the population of Great Britain itself.
In fact, even if it was unsuccessful, it would likely jeopardize one of the key events that made a post-ARW "United States" possible. The mass exodus of loyalists post-ARW meant that the risk of conflict internally vanished almost right away. With a US willing to sail around the world and try and kill the King, I'm not certain that loyalists would see much security in creating a loyal state just to the north. This means that the loyalists stay and they are there to pound on desks when the first constitutional hiccup occurs.