Compared to Mexico, France was richer, more educated, with a far better transportation system, a far larger manufacturing base, more natural resources, and a strong martial tradition. Mexico won.
Yes, that's true. But you're leaving out the big factor of Mexico being on the other side of the world from France. That's the kind of thing that negates the advantage of their transportation system.
The Confederacy would start its independence in poor financial shape.
As did the US.
They amassed over twice the per capita debt of the Union. By 1863, Confederate currency was so worthless people stopped counterfeiting it. Large amounts of their labor force was dead, crippled, or fled to Union territory.
All reasons why they lost the war. I don't think these things can happen close to the extent they did IOTL and have the CS win.
Their infrastructure had been heavily worn down by the demands of the war and needed major investment just to restore it to pre-war levels.
Which would stimulate their already significant manufacturing capability, which itself had been radically improved by the demands of war. But anyway, I don't really see the CS like, conquering Mexico or something, and I doubt there's going to be a war six months after they conclude war with the US. So to me, this scenario implies a cooling off period, and it implies a war with limited aims.
The Confederacy was far less educated than France.
Not really. A literacy rate of 89% among Southern whites. France's literacy rate was about 60% at the same time. Throw in the slave population, and that's close to a wash.
The Confederacy had no real deep water navy and building one would be expensive.
Indeed. And since they're the fourth richest nation in the word, they have the deep pockets.
The Confederacy didn't really have a good transportation system at all. Basically, it was a patchwork of poor quality, short run, disconnected rails, poor quality seasonal roads, and stretches of navigable rivers, most of which was oriented to local traffic, or feeding multiple foreign export points. The Confederate rails couldn't operate profitably or regularly during the civil war, and were run by fiat. It's not especially good infrastructure, unless you're a neocolonial client.
The 9500 miles of railroad in the Confederacy in 1860 is more than almost anywhere else in the world, full stop. It's more than anywhere in Europe except the UK, if I'm not mistaken. Other than that, only the US has more miles of RR than the Confederacy. Crucially, its about 38x more miles of track than Mexico had in the same year. Inferior to the US does not mean inferior to everyone. The US managed to invade Mexico twenty years earlier, when all of the transportation infrastructure was far worse.
See:
https://www.zum.de/whkmla/sp/0910/csj/csj1.html
I don't see the Confederate industrial infrastructure being suited to maintaining an offensive war or war in the field. As to being richer, that's a pretty iffy proposition.
From an earlier thread:
"So, according to Wilson, "as a cotton manufacturing region, the slave states ranked behind the North, England, and France, but above Austria-Hungary, Belgium, Spain, and Finland...while Southern spindles were far fewer than those of the North, they were generally newer and more cheaply operated. A contrast with Britain in 1860 is instructive British mills held about eight times as many spindles as those of the US but produced only about four times as much cloth. The South had about the same relationship to the North.
[Above is with reference to 1860, not the CS
after the wartime industrialization]
"'If we treat the South as separate countries and rank them along the countries of the world, the South would stand as the fourth richest nation in the world in 1860'...Southerners possesed more wealth than France, Germany, or Denmark." [I don't know what his definition for Germany is, but I can't imagine it includes anything less than Prussia.]
A Mexican-Confederate War is a non-starter. The Confederacy has no meaningful ability to invade Mexico, at least not without a generation of capacity building and heavy investment.
If the US could do it with less infrastructure in the 1840 it could be done later.
As to Cuba, to have any kind of shot, you have to beat the Spanish Navy. 1860's and 1870's Confederacy? Forget it.
I wasn't positing the 1860s, but I don't see why it's a given. Cuba is 90 miles away from the CS. Spain is 5000 miles away from Cuba. Moreover, as weird as it seems to say, with extremely limited resources, they manage to be on the cutting edge of naval technology for their brief existence. So even if their navy is inferior to Spain's, it doesn't need to be on par, it just needs to be strong enough to secure those 90 miles. That's far more manageable.
And that's assuming that Mexico and Spain stand still and fail to progress.
I don't think it assumes that at all. I think the converse assertion assumes that the CS somehow
regresses, while Mexico skyrockets above it's OTL performance. How that works is unclear to me.