Haha people on this thread are funny. it will be good to remember that the US is approx 40 times bigger than the UK and is not restricted to 'Oxbridge and then everything else' mentality. its more like 'Harvard, Yale, Princeton, Stanford, MIT and a few more and then everything else' mentality, but even that would be an overstatement.
To the op: Yale is a great uni, and a bachelor's from there would be a great achievement. In my personal opinion Yale is definitely on par with oxbridge. good luck.