Opt out of as much of their levers of power as you can. Deny them your eyes and your money. Use your eyes to look around you and see where you can push counter propaganda in your local community. Use your money to help the people you are in community with. The christo-fascists use money to "help" the homeless with soup kitchens that force people to renounce what they know to be true before being served. Mutual aid is not just about harm reduction, it's about freeing minds. Serving someone food is an act of liberation. It's an act of a true and powerful love that's been written about by theorists and philosophers for millennia. It's even at the core of who Jesus was at his core, it's just the christo-fascists misinterpret which group of people in revelations they are
So I like where you're going with this, and it's the kind of thing that's been bubbling in my brain for a bit now, but question: I've been to a few soup kitchens in different areas of my own country. Never once have I witnessed or heard of anyone having to renounce anything to get served. You show up, you get fed - there's Jesus freaks in the wings who may use the opportunity to try and convert you, sure, but if you walk away from them it doesn't mean they take your plate.
Do you have any specific examples you can point to where this isn't the case? If nothing else, helps name and shame.
look for elca run soup kitchens, as well as anything run by a local community action center. avoid the salvation army and anything run by any church you already know to be trouble. if you do go, spread counter propaganda to their misinterpretations of the bible: come prepared