Some of Napoleon's Ministers were equally far-sighted.

One of them, Barbe Marbois, represented to him in the strongest terms the hopelessness of the undertaking on which he proposed to embark.

He pointed out that the United States was sure to go to war with France if France took New Orleans, and that in the end such a war could only result in victory for the Americans.
We can now readily see that this victory was certain to come, even had the Americans been left without allies.

France could never have defended the vast region known as Upper Louisiana, and sooner or later New Orleans itself would have fallen, though it may well be only after humiliating defeats for the Americans and much expenditure of life and treasure.

But as things actually were the Americans would have had plenty of powerful allies.