I cannot fathom how ancient people, originating in Central Asia, could possibly travel to the East coast of America.
Seems incredible, which is why the traditional belief has always tended toward believing that most used the Beringia land bridge, about 12000 years ago, and worked their way south following animal herds. But DNA analyses in the past few years have suggested that as long ago as 36000 years earlier early settlers sailed to the US.
At that time, of course, sea levels were significantly lower and seas correspondingly smaller, and there is evidence that suggests the seafaring skills of early people were better than we imagine.
It's probable there were several routes taken, and we do know, from recent DNA studies, that Native Americans and Paleolithic Europeans share a common ancestry and there is a high probablity that the "population that crossed the Bering Strait from Siberia into the Americas more than 15,000 years ago was likely related to the ancient population of Europe."