I have a question as patriotic American and as a lover of history: How on earth would the US 'win' the war of 1812?!?!
Seriously, the American Navy consisted of six frigates and a few smaller ships. The overwhelming majority of the small US Army consisted of militia. Both federal and state governments didn't have the resources to fund a large military force if England decided to put more effort into the American theater (which was only a minor sideshow for them then the Napoleonic Wars) then they did IRL. Much of America was still depending on foreign imports for manufactured items. America had some domestic industry at this point, but it wasn't self sufficient.
To simplify things, the War of 1812 was the new guy on the block walking up the toughest guy on the block, spitting in his face, and then getting the snot beat out of him. Remember, this is not the US of today, the early 1900s, or even the 1860s. The US of 1812 was the geo-political nonentity out in the boondocks. That US only did as well as it did because England didn't want to waste their time or effort with the US when they had more important fish to fry.