Never a JW,
While many of your questions might seem to imply something in the Christian paradigm of Western Society...why G-d wants people to know him, why not end all doubts, debates, etc., why play Hide and Seek, etc...they aren't specific to the Jewish concept of life, duty to humanity and the world, and don't take into account that some Jews don't believe that God exists.
Unlike Christianity and especially the JWs, Jews don't claim to have all the answers or even see having definite replies for everyone to accept as a good thing. After all if everything were spoon-fed to you, could you ever really learn to grow and understand things for yourself? We all have to learn to read, write, do math problems for ourselves. We are born in a world where we have to find or even make the answers we constantly have to seek.
And why does G-d have to exist anyway? Can't you be a good person without there being a G-d?
Want the debates to stop, then stop engaging in them. You may not stop others from doing so, but who are you to tell others what they can or cannot debate about.
And who said G-d was hiding? Is the concept of the G-d of Abraham limited to reality? If the stories are just myths, do they not have any moral value or point to them? Many people are suffering, many searching for hope and direction, etc. If you notice such needs then why are you not doing something about it? Does a deity need to exist for these people to have hope and direction? If people in our world are lost, is it not our responsibility as members of a community to let them know we are here for them?
Instead of worrying about whether G-d is real, Judaism says you should fix what you see needs fixing in the world. If there is a G-d, then you have done good, but if it not you have still fixed things. Stop acting like a bitching and moaning Christian and do something on you own initiative. Like G-d asked Job, "So you think you know so much that you think you should have answers? Then you supply them to me!"
Not all facets of Christianity are anti-Semitic, and not all individuals within a given Christian sect can be charged with being anti-Semitic. And yes, I've read the New Testament and Christian writings...in Greek. I'm a philologist. Bible translators and teachers of all denominations call on me for help in their work. It's not all anti-Semitic.
And the history...yeah, I know it well. I'm Jewish, remember? There's this thing called the Diaspora, the Spanish Inquisition, and the Holocaust, and they happened in Europe. They were anti-Semitic, but a lot of history was not too.
And lastly, I added that part you mentioned because what I write might sound like a challenge to some atheists, because some here have told me so themselves. That was where my brain was at, to counter that before someone brought it up and misread my comments as a challenge to an ideology I have no problems with.
Good questions, though, even if you didn't mean them to be literal.