biscuits and lypiphera are right on the money. i'm from nj/nyc, and i worked on a farm outside of austin for a while. guns are normal, gun violence is not. many people have concealed carry permits, and many people have guns in their car, but they're more like "security blankets" and for "well, just in case my friend wants to go shooting after lunch" situations. going to church on sunday is par for the course, but nobody's going to give you a hard time if you don't go. you'll occasionally hear derogatory terms being used (namely ones related to race and sexuality), but that's less common in the city itself. as long as you're polite, respectful, and kind, people will be the same in return. for all the guns and bible-thumping and name-calling in various degrees, people are most concerned about everyone having the freedom to do what they want, while still respecting everyone else's "you do you" plan. austin and the surrounding areas are more libertarian than conservative, really, although you tend to lean more to the right as you get further from the city.
in all, the weather is a big ol' PIA, but i really enjoyed my time there. the city is great, the surrounding areas are beautiful, and the vast majority of people are very kindhearted with a good sense of humor. patience and respect run deep, as long as they're running on a two-way street. you'll probably like it more than you expect to