on the one hand, i'm willing to mostly write this off as mormon revisionism. the dna evidence linking natives to siberia is pretty overwhelming.
on the other hand, i think it's important to point out that it's not necessary for large numbers of solutreans to have migrated to america in order for the technology to get there. a few stragglers is all it really would have taken. and, i don't find the idea of a small group moving along the pack ice - or even being lost at sea - to be all that outrageous.
the key piece of evidence would be to find some of these blades somewhere along the way. now, i want you to note that what apparently led this guy to this hypothesis was that he couldn't find any blades in alaska. but, the same problem still exists - now he needs to find blades in...
wait. those ice sheets are gone. so....
this is unfalsifiable.
it's a nice story. but there's no way to prove it one way or the other. unfortunately, it's not even wrong.
regarding the x chromosome, i think that carthaginian or greek contact in the pre-roman period is far more likely.