The tie between the hieroglyphics of the Miqmaqs and the Egyptians is surprising, but easy to figure: Christians. The Miqmaqs are the first-nations tribe among whom the Vikings settled, interbred and assimilated. The Vikings who settled North America were NOT pagan barbarians as most people presume; Lief Ericson was a Catholic bishop.
As for the Ainu, I can’t address their cultural similarities, but you should know that they *are* Caucasians... or at least had very caucasian features, prior to massive intermarriage.
A Catholic I can see—but a Bishop seems a leap too far, and doesn’t seem supported by Google. DO you have any idea about where that claim originated?