While I can only speak for myself, I must begin by saying that I was exactly where you were some 20 or so years ago when I left.
But the choices we make after we leave the Watchtower won't be intellectually honest if we don't realize the one thing you mentioned, namely getting over the indoctrination process of the JW religion.
A few, you might notice from lurking, never do that once they leave. They might leave the religion and the doctrines behind, but not the process of reasoning like a JW. But most of us realize that just as important as leaving the doctrines behind is leaving the way we learned, thought, reasoned, and made conclusions while in the Organization. You will never learn to cook well if you merely switch your ingredients. You need to learn the proper way of cooking as well, abandoning any bad habits you picked up until now.
This may including looking at your questions and asking if they are even relevant. Instead of asking, "If there is no God, how does one find hope?" you might ask, "Does the existence of God guarantee or always come with hope?" Instead of asking the question regarding why mankind cannot seem to rule themselves, ask if the presence of war and problems is truly a sign that human rule is unsuccessful.
You see those questions are Watchtower-brand questions, designed to take advantage of someone who is uncomfortable with ambiguity and is seeking definitive answers. In all truth, life is about embracing ambiguity and not always having all the answers.
So you may want to start and see if you are asking the right questions to begin with. While some do end up being agnostic or atheist once they leave the Watchtower, coming to a religious conclusion doesn't come by asking for proof in the existence of God. That type of approach is also a Watchtower type of demand.
One thing science and the mainstream religions have in common is that they embrace mystery, the unknown, ambiguity. They do it in entirely different ways, but both come to the same conclusions: the more we learn, the more we learn we do not know.
But religion that offers answers to everything, that claims to wipe away mystery and ambiguity, that claims science is wrong and critical thinking is dangerous is poison. Like science, religion is a tool that should help you understand your place in the universe, to use honesty in doing so, and be a means to embrace your smallness in the face of a reality that has more questions than answers.
And becoming atheist doesn't mean you live a life without hope. Some have great hopes for the future. It may not include an afterlife for many, but that doesn't exclude similar views either. Atheism doesn't mean you aren't spiritual or don't embrace the possibility of the transcendent or reject views on eternity. It doesn't even mean you are necessarily lacking a religion. It generally means you don't believe in deities or in the existence of the Judeo-Christian concept of God. They are forms of Judaism and other Eastern religions and philosophies that are quite spiritual but are purely atheistic. And even among those who have no room for such things doesn't mean these people are hopeless or even feel incomplete without such.
If there is one rule of thumb to apply after leaving the JWs behind, it is this one: take nothing with you.
That means take nothing religious or otherwise with you from the Watchtower. Do you want to come to any opinion about the existence of God? Well, don't use or accept anything you ever learned from the JWs as a "given" or a starting point. Start from scratch.
And don't let anger, despair, disappointment, or any other emotion color your reasoning either. Let things speak for themselves. Learn from the source, try things out for a bit before accepting or rejecting them, and have a means to test your conclusions to make sure they are right.