Middle Earth maps/geography

I know several who are very knowledgeable. . .and I asked them the same thing.

One friend of mine told me that perhaps the maps of ME were upside-down, and that ME was America, across the sea, (which would be the Atlantic) was the land of the Men or Kings or whatever. . .and that when they came into the Americas for good, the Hobbits and Elves and Dwarves simply went into hiding, and are too clever for us to catch today!

I found that an interesting if not consistent idea!