mmm Tarrak I doubt that anything as a land bridge over the North Atlantic ever existed. When you look at the times of migration.
Homo Sapiens entered Northern Europe in about 30,000-35,000 BP, by then the biggest Ice ages were already in the past, and even the Bering Street was begining to become open again.
So if anyone could even have migrated to America over a land bridge it was Homo Neanderthaliensis, and then it should have been clear that Kennewick man (never heard of him tbh) should have looked like a Neanderthaler not a Homo Sapiens.

Next to that land bridges form over places where the sea isn't very deep and where it's cold. So that should mean that the migraters should have migrated over the North Pole as that was the best place to migrate over. The Atlantic Ocean simply is too deep to freeze solid and the ice didn't come lower then Scotland in the last Ice ages, so France is out of the question anyway.