Let's assume (pick your favorite post-1861 POD that doesn't involve outright European intervention) that the CSA manages to secure its independence from the USA by 1865.
Are they supportive of this French misadventure or outright hostile towards the new regime?
In my opinion, the are supportive, given the aristocratic outlook of the southern planters, reliance on European markets for cotton exports, and the likely fact that the USA will support of Juarez and other rebels after the Civil War has concluded (enemy of an enemy is your friend reasoning - the CSA doesn't want a hostile power on its southern flank after all).
Or do they take advantage of the chaos to secure a Pacific Coast?
Much less likely in my opinion. The CSA is likely wartorn and not ready for another war - esp one with fronts so far from 'civilization.'
Are they supportive of this French misadventure or outright hostile towards the new regime?
In my opinion, the are supportive, given the aristocratic outlook of the southern planters, reliance on European markets for cotton exports, and the likely fact that the USA will support of Juarez and other rebels after the Civil War has concluded (enemy of an enemy is your friend reasoning - the CSA doesn't want a hostile power on its southern flank after all).
Or do they take advantage of the chaos to secure a Pacific Coast?
Much less likely in my opinion. The CSA is likely wartorn and not ready for another war - esp one with fronts so far from 'civilization.'