I would think you have to ask yourself if you benefit from high property taxes, both locally and statewide. Are streets, schools, services, and other items that are funded by what I would consider "extremely" high property taxes as good as they should be? That would be the litmus test for me personally. I pay fairly low property taxes in both Texarkana and Hot Springs. Hot Springs is a resort town and lakeside community that is well funded by taxes, tourist trade and racetrack fans. Good streets, schools, and top notch services.
By comparison, my home town lags in some areas, mostly street conditions and average schools, but not by much. And you can always pay tuition and send your kids across town to Texas schools which are rated as some of the best in the state. So, you have choices where I live. And we're 3 hours from Dallas, and 2 hours from Little Rock from Texarkana if we can't find what we want or need. 30 minutes to LR from Hot Springs. The caveat is, just about anywhere I move will have an overall higher cost of living. That's one reason my wife and I haven't relocated to Georgia to be closer to my son and his family (and the fact the bass fishing is limited at best).
Point being, does where you reside offer bang for the buck for your family? If not, move, or stay put and work to change the tax structure. Good luck. It won't be easy. Hard to take money away from politicians who make those decisions.
Maybe the reduction in deductible state and property taxes will spur those changes in higher cost of living states. I sincerely hope it does.