Very interesting question. It puzzles me that so many ex-JW's on this forum are so anti-Bible and God now, but I can understand the psychology behind it. My guess is it is often the natural result of the huge spiritual vacuum left after having the epiphany that the JW's are not the one true religion after all. JW's live in a world of black-and-white paradigms at many levels. When the biggest of those paradigms is gone, ie, that the JW's are the only true religion, it is a logical conclusion that if there is therefore no true religion, then perhaps there is something wrong with the bible itself (eg, it is just open to any interpretation after all), and by extension, perhaps there is no God, because why would a God of love work in such a confusing way and not have a true religion, etc, etc.
The same kind of all-or-nothing, black-and-white mentality that is so prevalent in JW's is still often carried over into other areas of thinking and life in general by ex-JW's. Once they believed in it all, and that there was one true religion....a few years later they conclude that there is nothing really, not even a God....instead of finding a happy medium the 'all or nothing' paradigm that was so ingrained in them by the JW world-view has more or less just transmuted into something else at the other end of the spectrum of belief systems.
And then there are those who end up finding themselves living lifestyles that are contrary to the bible's moral code, or they even left the JW's deliberately because they wanted to just do their own thing morally. They have a psychological need to justify their new position in life because they still feel some guilt over this so end up adopting a belief system that salves their conscience. They set out to find research that supports their preferred belief system, and having so found it, they decide that the new godless belief system was right all along. So there was no real objectivity or impartiality, just a rationalisation for a new lifestyle that is not compatible with the bible.
And then there are those small few who perhaps do genuinely decide that there is no God and the bible is false after genuine unbiased research that is not in any way motivated by a subtle desire to prove that to themselves to justify some deep seated psychological need. But I doubt there are many of them.
I think a kind of neutral, agnostic Buddhist position makes a lot of sense for those thoroughly disillusioned about the idea of God and divine revelation. Rather than throw the whole thing in and swing so far to the other extreme of atheism, for which the 'evidence' is even more flimsy, why not just adopt a 'sit on the fence, wait and see' approach. The Dalai Lama said that if there is a God then it appears he is sleeping at the other end of the universe, and for now it has no direct relevance on our lives to insist one way or the other and that our duty is just to live a life based around things like loving kindness, compassion, community, etc. He didn't discount the possibility that there is a God and didn't say there definitely is one. That kind of balanced agnostism is totally understandable to me.