What you're pondering is something that the US puts its servicemen through without a second thought. Stationing them and their families in locations, even stateside, that very much do not concern themselves with the rights and safety of its citizens or its democracy.
Aside from that, you have to consider if a move right now, in the middle of the US'
surge of outdated conservatism is something you want to stress on yourself and your family. You would be well within your rights as an american to move and insert yourself into local politics and hold the ethics of the locals to the fire. I have a general rule of thumb that what it comes to politics that you vote with your heart at the local level and your head at the state and national level. But is that something you have the time and energy to do? Do you want to put that literal target on your family? Would you be able to
not get involved when obvious abuses and shady shit come to light?
I've lived my entire life in a blue county in a purple state thats gerrymandered to hell and back so bad that its always gone red when its mattered. 30 years in a middleclass neighborhood outside a military base, 7 in a more remote dead 30 year old suburb of established families, and the past year in a more rural setting surrounded by farms managed by migrant families. Now what I'm about to share here could be all kinds of confirmation bias and whatnot, but these are my experiences dealing with the red that have made politics their entire personality in my island of blue.
1) "southern hospitality" is a joke full of hypocrisy so the old "back in my day" fuckers can blame others' lack of "manners" for their asshole behavior.
2) They are hypocrites on EVERYTHING, to the point that it will drive you crazy. Politics, HOAs, policing, etc. Its NIMBYs and FYGM all the way down.
3) They peaked early in life, think that means they are owed something, and blame "others" for why that isn't the case. This also leads to crazy jealousy when people who aren't "them" have earned or flaunt stuff that they dont have or cant achieve. Worst case was when my car was egged by a couple of rednecks in leaking 20 year old trucks.
4) Karens 24/7, they are walking victims of every slight, so they come across as needlessly aggressive. Especially true with the assholes in lifted trucks that can't drive. Once had a couple of boomers yell at me that "they (referring to themselves) must not matter anymore" because we had a bunch of posters hanging up of notable black figures, during black history month.
5) On aggression, they are currently going after everything that doesn't fit their twisted fucked up version of Capitalist Jesus. Libraries, schools, parks that lack pickleball, Gen Z. I had my car vandalized twice for an anti-Fox bumper sticker.
Now aside from how awful that side has become, you have to consider what that means for the dynamics of your extended family. One thing the south has no concept of is parental boundaries.