Second Mexican Empire survives

I'm working in a timeline with multiple PODs, and one of them is the Second Mexican Empire surviving. So, how could Emperor Maximilian I continue in power and prevent the fall of the Empire?

Thanks for the feedback
 
Southern states win ACW and so USA can't do with Mexico anything or make the war lasting much longer and USA will be too weak to do anything.
 
Maybe the French wins at battle of Puebla so the invasion is not stalled for a year and the french forces are able to capture Mexico City earlier, with the oblivious advantages...
 
And how could I make it longer?

I don't know. Perhaps for North keep McClellan around longer and kill couple capable general beside Sedgwick. And for South perhaps Jackson doesn't die and allow them win some battles more. Perhaps victory at Gettysburg.
 
Southern states win ACW and so USA can't do with Mexico anything or make the war lasting much longer and USA will be too weak to do anything.
It wouldn't be out of the question for the CSA to do as the americans did. At the same time, they could also ally with the empire, so it's up in the air as to what they would do.
 
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