Its pretty clear that the southern states would be in a much stronger position to expand westwards. Most of the yankee states would have been blocked by Virginia, so possibly slavery would have lasted much longer.
The Lousiana purchase wouldn't have happened and it is unlikely that any of the states would have had the strength to conquer the area, so a French North America survives.
Even if one imagine a "Southern Alliance" against France it would not have been strong enough to take Louisiana.
I could imagine the New England states forming some kind of confederation later on, since they would be too weak on their own.
You don't think the British would have claimed Louisiana for themselves after Napoleon's downfall? Remember that France only regained Louisiana from Spain for the 1800-1803 period and it was basically worthless to them due to British naval superiority.
