Back to your specific questions: “Is it wrong of me to raise Catholic kids, even if I don’t believe?” No, of course not. It’s commendable to raise your kids Catholic. Full stop.
Is it lying? No, it’s not, because sentiment doesn’t define truth. Your feelings toward Catholicism do not define the reality of its tenets. Whether or not you believe in it does not alter it’s veracity. You may struggle with belief (as did St. Peter) but you are not teaching your children something that you know to be false. You are teaching them something that you are not sure of, because you believe it is the right thing to do. Your doubts do not make Catholicism a lie.
“Is it wrong of me to want them to have (even a false) sense of security and to experience the idea that there is a God who loves them unconditionally?” No, it would be wrong to deprive them of the knowledge of a God who loves them unconditionally. Back to Pascal’s wager, one could equally argue that not raising them in the faith would be a false sense of security.
Like you and every other human being in the world, your children have a desire for God. (Your posts are very indicative of your desire for him!) We are, by our very nature, religious beings with a built-in desire for God. If you can help them to fill this void, fill this very basic human need, then you are doing the right thing.
If you still need convincing about moving forward despite doubt, maybe this will help. Mother Teresa of Calcutta gave up her entire life to care for the poorest of the poor. She’d care for each person as though they were Christ himself. She once wrote “I am a pencil in the hand of God writing a love letter to the world." It wasn’t until after her death when some of her personal private letters were published
that people discovered that she suffered from doubt and a complete lack of spiritual consolation for the ENTIRE LENGTH of her missionary work. Despite this, she chose to give her life to Christ anyways, doing tasks in His name that others (and she herself!) would not have done for a million dollars. She wrote: "And how much more ugly could he make himself than a badly diseased leper? And yet it is he. We must know it. As I know that two and two make four, I must know that it is Jesus in that person.” If she had not chosen to believe and live out the faith she no longer felt, then millions of people would have felt the loss. Instead, she is a saint who touched the lives of millions of people, and her legacy lives on. Honestly, I think she should be dubbed patron saint of those who suffer from doubts

She is certainly an inspiration to me!
I hope this helps in some way. Please do not give up on your own journey of faith! If you have any specific issues that you are struggling with, feel free to ask away if it helps. This is a great community of believers who are also seeking answers to faith questions. God bless you.