I live in Austin. It's really not that bad. Sure there are many people coming from CA (like I did 3 years ago) but Texas in general and also Austin in particular have distinct enough cultures that they haven't become just another CA. Just my personal opinion of course.
My near 40 years in Texas says otherwise. Yes, Texas culture is strong but the West Coast invasion has been felt. Less so in Austin because it was already a liberal place. Politics aside, the ethos was more similar to the West Coast.
We're used to waves of people moving in though and that's probably also what makes it somewhat less felt from the newcomers. We call ourselves the friendly state because of our welcoming attitude. However, I think if we ever flip from red to blue the pre-recession Texans are going to freak out.