Of course, I could equally claim that science has “skillfully” moved its belief system to be unfalsifiable.
And as well they should, because the willingness to abandon beliefs that have been falsified is in fact the hallmark of the scientific method. Of course, in describing science, I would use different words, rather than a description that seems calculated to disparage.
I’m a Catholic because my faith does not require me to accept anything that can be proved untrue, and thus I have no conflict between what my senses and reasoning tell me is true, and what my faith requires me to accept.
As you say, there are other religions in the US, and they may well demand of their adherents the belief in things that we can falsify. In my view, those beliefs can be treated just as we’d treat flat-earthers.
Moreover, and as an aside, I absolutely acknowledge that to the rational observer, any claims about God must be regarded as both unproven and, by Occam’s Razor, likely false. My reason for believing is solid, but unfortunately it’s not one I can effectively communicate. I experienced evidence that I can’t show you. It’s rational for me to accpet that evidence, just as it would be for you to accept it if you had experienced it. But since you haven’t, I can hardly demand that you in effect “Take my word for it.”