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That's a very interesting line of reasoning. I believe that this may have been researched earlier owning to presence of yDNA haplogroup R1 in the same tribes as the X2a mtDNA. However, this lineage of R1 was found to be linked to a founder population in Siberia and not the European lineages
Spencer Wells claims that the other major Native American yDNA lineage, Q2, traces directly back to Central Asia.
I did find that a branch of the mtDNA haplogroup X2 was also present in ancient Europe, but I don't think there is any way to link it to the new world populations of X2.