The only way that Texas will ever change its stripes will be if the influx of newcomers changes the political demography. If you're of the liberal stripe, and you've been thinking about moving to Texas (to take a job or something), then know that you're more than welcome here.
The state is becoming increasingly purple, and it's not as bad as you think. Did you know that Houston is the most ethnically diverse city in the US (surpassing LA and NYC)? Or that all of Texas' major cities are, for the most part, Blue? The GOP in Texas knows its days are numbered; the gerrymandering in Texas is frantic.
And don't listen to the idiots who loudly proclaim that they don't want any more newcomers to Texas, they're wrong. Especially the ones from Austin. Jesus Imaginary Christ, they're the worst.
Political change in Texas is definitely possible, but only with the help of you, the newcomer.