Again dates are been inched back. However the big picture regarding Beringia has always been flawed as populations suited for high latitudes are not easily adapted to tropical conditions. Water borne migrations gets us around this problem.
Regardless northern adapted peoples first established themselves throughout Eurasia and then moved into northern America with grudging migration south. That leaves us with two other sources of genetic injection and that by water across the Atlantic and along the Pacific Coast.
I want to also observe that a black and white photo of Himalayan peoples could be swapped easily with one of peoples of the Pacific North West. Some larger populations have established unique traits that appear to separate them but actually reflect an expansion of a single variation from the original population.
What is now beginning to work though all this is DNA. A huge component of the Eastern North American genome derives from Europe and also from the Caribbean as well. IT is still to young to properly sort out but it will happen.