Do not treat skeptics like heretics.
Enter the realm of discovery. In order to do so, you must free yourself from preconceived notions and foregone conclusions.
Do not say, "Here are the conclusions. Find facts to support them."
But say, "Here are the facts. What conclusions can we draw from them?"
Now I will reference the poetry of a beautifully written epic from centuries ago. It was written to guide people and in it's time, I believe that it was a good thing, and the text still has much value.
Romans, chapter 12, verse 2, King James Bible:
"And be not conformed to this world, but be ye transformed by the renewing of your mind, that ye may
prove what is that good, and acceptable, and perfect, will of God."
Go discover, arrive at conclusions, do not make them.