Interesting question.
I suspect that the brownshoe army wasn't ready to help much and that the Hun would have kicked Britian and France's asses at first.
But I doubt that the Vichey government would have been formed, and I also doubt that the Germans would have been stupid enough to declare war on the Soviet union a few years later, too.
They'd have been too busy dealing with a more aggressive threat coming at them from the Western front to make that mistake.