Texas and its long tradition of "pride of independence" has, at best, only resulted in a parallel version of Federal Government policy. Undesirable Federal policy X will almost always still show up in Texas - it will just be presented and perceived as though it has been arrived-at independently as the will of Texans.
If sovereignty is your thing, other than a strong stand on gun rights there are states in the US with policy that correlates far less with D.C. and they don't make it their claim to fame either.