You keep using that word.
No one has yet proven there is or is not a god. Evidence isn't proof although it can be substituted for proof in a court.
If someone manages to prove "god" exists there's still the sticky wicket of proving the messiah. If I understand it correctly the jews believe in essentially the same god, believe in the essentially the same messiah and believe in the jebus was a prophet but they don't believe the jebus was the messiah. I could have that wrong, it's been a while since I looked into it.
Without actual proof there can be many philosophical "truths" and everybody gets a trophy.
Let me preface this by the fact I used to be an atheist and my bachelors degree was in philosophy. I used to be the king of being an eternal skeptic. What you are getting into now is what we call Apologetics. I have spent many years of my life on the question of the existence of God. I can go down a huge rabbit hole here (again). But I will try to sum up what you said and give an answer.
Correct. Evidence concerning the big questions of existence, the nature of the universe, and God do not necessarily equate to a 100% verifiable. But that means neither the Theistic nor the atheistic position are 100% verifiable. That means that both positions (as well as the agnostic position) requires faith. You either have faith that the evidence is more in favor of God, or you have faith that the evidence is not in favor of God. Whatever path you choose requires faith, despite what the atheists say. This is a reality that Lee Strobel came to as a devout atheist who came to the scriptural evidence in an attempt to disprove the Bible (see Case for Christ). This is a reality that is drawn out by Frank Turek and Dr. Norm Geisler draw out in I Don’t Have Enough Faith to Be an Atheist. Claiming to be an atheist or an agnostic does not absolve you from faith, you just have faith in things other than God. However I will say after looking at all the evidence and all the arguments for the existence of God (the moral argument maybe being the most compelling), I think it takes far less less faith to believe in God than it does to be an atheist.
Also your assessment of Christianity and Judaism is not really that accurate, because Christians were part of Judaism and was a sect for the first century