Half the people in the navy will defect to Texas anyway, maybe even the entire carrier.
If we should ever get into a shooting war between a State or States and the US Military, for real, no kidding around, then occupation will not be the main strategy of the Feds. Destruction will be, and punishment. All kidding aside, this is not a realistic scenario. It's one thing to hoist a few Lone Stars and bar talk armed secession, it's another thing to contemplate the reality of it. The probable position of the United States would be not just that it would have to deal with Texas, but that it would have to send a message to the other 49 States and the rest of the world as well. And there are quite a few military analysists who would feel that the quickest, most humane, shortest and most definite solution to those requirements would result from some very large smoking holes that glow in the dark. That's reality.
As corrupted as the process has become, if you really want to change things, you educate yourself and go to the voting booth. The Constitution is meant to be invoked and used, not thrown aside for shooting war that would usher in an age of martial law. That's just national suicide.