My situation is not exactly the same as yours but it is a story of how to get along with friends and family who are on the total opposite side of the aisle, so perhaps you can find something to help you in my strategies.
My parents are extremely right wing - in India. It is mortifying and horrifying enough that they are this way but to make things worse my mother is also deep into conspiracy theories on a similar scale and off-the-charts-insane like QAnon in the US. At the same time I am also still engaged in a decade-long effort to build a decent relationship with my parents. So even though this is a self-imposed form of hell, the fact remains I am trying to actively love (as in verb-love) these people whose political opinions horrify me and who ruined their relationship with me in the past by throwing me out of their home as a teenager, abusing me as a child, etc.
Step 0 in accomplishing this task is to actually be clear, honest, and fully committed with yourself that you do want to keep and build these relationships.
For many years I was on the fence about it and I made no effort at all to build a relationship with my parents. That was fine! If you are here, you are not doing anything wrong! And neither will you be doing anything wrong if you do choose to walk away properly from people who trigger you too much. Many years after not working and fence-sitting, I intellectually realized I wanted to fix things but emotionally I remained uncommitted, angry, resentful, and blisteringly mad about how unfair it was that *I* was the one doing this fixing and building. This was also a valid stage to go through, and I suspect you're somewhere around here, feeling angry and hurt and torn within yourself that these are your fucking choices: to learn how to get along with assholes or else to lose all your family and friends. The unfairness REALLY RANKLES. This is extremely valid and extremely real, and there is no way out of this stage but through it. But sadly, no forward movement will happen FOR YOU EMOTIONALLY in this phase, as far as making your peace with your situation goes. (Also no forward movement will happen in fixing the relationship but that is not necessarily a bad thing, if you're in this stage.)
Accomplishing Step 0 - becoming fully and truly committed to building and maintaining these relationships - is a hue, huge task in itself. I would strongly encourage you to work with a psychodynamic therapist or some other modality that pays attention to childhood issues, in order to get to Step 0. You will know you have reached Step 0 when you can "radically accept" that your friends and family voted against your life, your rights, and your wellbeing. That is who they are, this is what you are dealing with, and you no longer have any wish to wrestle with this reality (try to convince them, try to lead by example, try to explain yourself, try to talk to them, try to get them to acknowledge your pain or at least be forced to see it, etc) because you. just. fully. accept their political position is their political position - you accept their total separateness from you and you accept their right to be separate from you - and even though you may be angry, even though you may be hurt, even though you still hate their politics, you want to just get on with building the relationship. If you're there, then you can move on to
Stratagem 1: find things you enjoy about this person, and trying to do things you mutually enjoy with them. Even the smallest movement towards identifying and then amplifying the good (by having small good interactions) will help. Repeated good interactions are what finally defeated my insecurity about "giving my parents an inch" - it felt so threatening to me to have anything nice with these people against whom I was nursing so much anger, and I TREASURED my anger, I didn't want to lose it! Having repeated nice experiences made me feel like, okay, I still haven't lost my right to anger or my anger even though I am having fun with them. Both my anger and my love can coexist. This has been a HUGE relief.
Stratagem 2: stop talking politics with them entirely. These are not your politics buddies. FIND OTHER POLITICS BUDDIES YOU CAN RELIABLY GET SUPPORT FROM for the political side of you. This type of compartmentalization is a healthy practice because nobody can be everything to us. Nobody in our personal life can check all the boxes and be everything we need from the world. People's failings are sometimes located near the very things we consider "basic shit". They are human, and this is okay, and we can find others to fill this basic need for us.
Stratagem 3: This may seem like the opposite of Stratagem 2 but it is not - don't stay silent when your friends and family say horrible political things to you or around you. You don't bring up politics but you don't stay quiet when unacceptable things are spoken in your vicinity. You MUST say something, you MUST speak your mind. Make it short but make it honest. Otherwise you build up an incredible amount of resentment and anger that will poison the relationship and run counter to your Step 0 goals.
Stratagem 4: After you say it, move on without belaboring your point or trying to get them to agree with you. Say it, and then completely let it go. Saying it is the point. The goal is NOT to change them, move them, make them think like you, make them acknowledge you, make them apologize, etc. The goal is unburdening yourself by speaking your truth, protecting the relationship by not allowing thoughts to fester in secret. If what they have said is horrible, say, "Wow, that's pretty horrible," and then move on immediately - warmly, affectionately, taking the sting out of it with your manner, without holding a grudge. You get your satisfaction by speaking up, not by making them bend. This strikes a great balance between being authentic and yet sidestepping useless conflict.
Stratagem 5: If they want to argue with you, you have to learn how to bow out smoothly without engaging in that. Say things like, "Oh, dad, that's fine, we can let it go. Tell me about Auntie's health..." Again it is important to remain non-retaliatory, don't punish them for wanting to hash this out by being angry. Be calm and warm and affectionate, but do not be moved into engaging in the political discussion. Walk out and take a short break if you need to. But come back on your own as soon as possible, and be loving. These are your people. You have boundaries with them, not walls.