Everyone will face their own questions, concerns and trials. That's just part of a life that requires some element of faith to live.
I hope how I handle mine is a force for good in my children's lives, but I am not about to manufacture questions, concerns and trials in their lives when they might be the wrong time and/or the wrong question, concern or trial. "Sufficient unto the morrow" is a good standard.
I hope to live my life so that when they struggle with something, my children will come to me and talk about it - and I can help them develop their own unique perspective that will give them peace and joy as individuals. For that to be most likely to happen, I believe my children need to know that I have questions, concerns and trials - but, as I said, I don't think they have to know the exact nature of each and every one.