The Rebel - Now my intuition tells me God exists, but my analytical thinking tells me God does not exist. So maybe God is alive in my heart but no longer in my head.
What does your intuition tell you about the Loch Ness Monster? Big Foot? Fairies? The Chupacabra? Zeus? UFOs? etc.
Intuition gets us through life pretty well on a day-to-day basis and so we learn to trust it. The problem is that it does such a good job in most cases that we get overconfident on its value. This is why we have a scientific method to test out the validity of intuitions. If your intuition is that "God is alive in my heart" (or any other belief your intuition tells you to be true), and you want to be a good critical thinker, then the next step is to develop some demonstrable evidence that can help you determine if you are right or wrong.
The Rebel - b) ido you think it wrong to dismiss intuition over analytical thinking? ( or vice versa)
I think this is somewhat of a false dichotomy. Both intuition and analytical thinking can be useful. Intuition can often be the beginning of great ideas. However, beliefs based purely on intuition have been (and continue to be) debunked. For example, the idea that the earth was flat, that the sun and planets orbited around it, that it was only thousands of years old, etc. was built out of intuition. People then began doing actual experiments that contradicted those intuitions.
The problem is that we often rely on our own intuition and take it as fact without doing any homework. Intuition can be useful as a first step in asking question or developing a hypothesis. But if you want to be a good critical thinking (and intellectually honest) you then need to test it agains demonstrable evidence. And, more importantly you have to go where the evidence leads you and not the other way around.