The analogy is then pushed to this debate. The trial analogy is poor analogy. No, the proper way of looking at it is a debate format, where both sides must defend their propositions. In a debate format, there is no doubt about it.
Theism wins hands down, everytime.
In fact, it is getting harder and harder to find true atheists who are willing to do any type of debates on this issue. Pray for them. God shows Himself to people in His own way. Learn a few of the classical arguments regarding the existence of God that have held up over the centuries. If you grasp these arguments, you will be amazed at how rational it is to be a Christian.