I live in San Antonio now and I get a very neutral vibe here. Austin, while wonderful, is more liberal but if you want to visit it is only an hour away.
We are enjoying the cultural diversity in San Antonio and it has a very strong home school population. Cost of living is very good, homeschool laws are pretty much non-existent, and the city has wonderful arts & entertainment to offer. The state, overall, is considered conservative.
Seriously, I am not a TX commercial :D - I've only been there 2 years and will only be there 2 more years at the max. Lived in GA before this - love Atlanta but the cost of living and the traffic there is terrible. Savannah is gorgeous...that would be a lovely place to live. I am from Cincinnati, OH - my favorite place in the world and very conservative but not a hugely diverse population...
HTH
PS - isn't it AWESOME that we live in a country with such diversity in ALL areas (including climate) and we have choices. USA rocks!!