, IT DOES NOT MAKE SENSE for a "loving" God to NOT convince people beyond all doubt that he exists then proceed to destroy them for not believing in him!
Just for the sake of discussion. If you were Jehovah, how would you have communicated with humans whom you created? For e.g. lets take a situation:
A man habituated to drugs and alcohol regularly beats his wife and children. He has also committed a murder. The wife of the man prays to you to help her in improving her husband so that she will get to live a happy married life with the one whom she loved years back. While, The wife of the murdered victim prays to you that justice be served and a life sentence be given to the man. How will you answer both the prayers in a way that convinces both of them and which serves as a tangible proof to others that you have answered their prayers.