I'd guess that most christians who are ABDL struggled with this and/or their faith as a consequence. One reason is that faith is often a secondary reflection of our culture (you've heard the quote, "if your God hates all the same people you do, you can be sure that he's made in your own image!"). Many of our cultures at large are not very accepting of kink - and certainly not of anything they (in this case wrongfully) assume is related to pedophilia. With that backdrop, many religious people might assume this kink or fetish is against their faith.
Then at least in Christianity, there's he puritan Victorian impulse of purity...kind of anti-sex anti-pleasure across the board. This underlying assumption tends to manifest itself as a general distrust or condemnation of ANYTHING that we experience as pleasurable. "If I really want to do it, it must be wrong." This impulse lies underneath a lot of at least American Christianity.
On yet another dimension. There are many many ways to be religious, many more to be spiritual, and many ways to practice christian spirituality. Fundamentalist/literalist forms will be more likely to condemn this practice than more liberal streams. My faith has evolved - I think in part - to accommodate this part of me that I have come to experience as unchangeable. My faith is richer and more grace filled for it actually. My style of faith and belief allows space for me to enjoy the world we live in, to experience desire with a full heart and clean conscience, to have peace with all the experiences of being human. I also have come to believe that God meets us where we are at, in all our faults and traumas, in all our brokenness - and loves us exactly as we are. I'm open to the change that God might bring to my life if this part of me needs to change - but right now, I see it as a relatively healthy coping mechanism for life, and a outlet for joy and silliness. Not much different than enjoying cycling or drinking beer or attending concerts or collecting quilts or tending a garden or cooking (all which could become a deconstructive obsession mind you, just like diapers can become). While my faith was once at conflict with this part of my life, it now blesses and has compassion for it - even celebrates it in a way.
So no, I don't think faith has to die in order to accept Abdl. And I also don't think Abdl has to die in order to be devout And/or serious about faith.
Sorry if this is a crazy rant, I'm typing on a phone lol. No proofreading
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