Does that mean that skeptics will become religiously or spiritually engaged as soon as the supernatural is presented by evidence ?
No, it doesn't necessarily follow that one must worship something that they know to exist. It will just be something further studied and appreciated. If there is evidence that spirituality and religion offers something of value, then the skeptics might become spiritual or religious. Also, if the god of the christian bible is shown to exist with evidence, I doubt many skeptics would start worshipping such a being. I mean.. if the bible is evidence of it's behavior, such a thing should be fought against.
Anyway, you try and prove to anyone here that last night you dreamed that you were walking on the beach with a strange dog, and that this dog just saved a child from drowning.
Why would I do that? I had no such dream.
No one in the world has any good reason not to believe you, .. it's a normal position to be in...years after your dream, this exact same dog walks into your life and soon after it is all over the papers how it saved a child from drowning on the beach where you were walking it.
What is your position now ? Disposition! You're on your own now, because you cannot prove your dream. And it will not pay for you to seek support with your skeptic friends; they don't believe in such nonsense unless you present evidence.
And....... why does it follow that such a coincidence is evidence of the supernatural? Here are a few explanations that require no supernatural suppositions. You must rule out all the mundane explanations before entertaining the paranormal ones.
1. You are fabricating the dream and the story. IE.. you are a liar.
2. You read about the kid and dog in the papers and you retroactively placed these events in your memory of the strange dream. For instance, the dog and kid in your original dream were completely different in appearance in manner in your dream until the moment you read the paper.. in which your dream dog and kid became the real ones.
3. It's just a coincidence.
Until you can factor out these three mundane explanations (there are probably more than this), I will not believe that you have premonitions.
Your skeptic friends are justified for doubting you.
Next time you have a dream that you think might be a premonition, announce and document it with details BEFORE it comes true. Prophecies told AFTER they happen aren't impressive in the slightest.