Texan's have felt less and less Southern, ever since the invention of the breakfast taco.
John Henry Faulk, who was raised in Austin, comes to mind as a notable person who remarked on the subtle, and not so subtle, transition from Southerner to Westerner as one moved west across Texas.
Historically, you may have a point or two, but speaking in terms of present day culture, the average Texan does not give a rat's ass about the confederacy, save the usual suspects (some small town East Texan bumpkins), which makes sense if you believe that the Confederacy and individualism are mutually exclusive.