The problem with naturalism is that it assumes something which is entirely incorrect and denies anything which contradicts the assumption that natural law is the dominant force of the universe. That's a view that is held by a relatively small portion of individuals. While veracity isn't found in consensus, neither is it found in minority opinion.
The problem is that naturalism cannot account for origination; not of the universe, not of the earth; not of life and not of time. It cannot account for the origination of anything because by natural law matter/ energy cannot be created, only changed in form. So faced with the logical question, "how did all this begin," the truthful naturalist can only respond "I don't know." While he may subscribe to the latest theory du jour of spontaneous auto-creation, if he has any reason at all he knows it to be folly.
So if his world is limited to the physical sensations, he must remove from it abstract thought which does not follow physical limitations. He must also contend that every single supernatural event seen, heard or recorded must be false because there is no room for such things in the natural world. In fact, the very process of dreaming flies in the face of naturalism because you see, hear, smell touch and taste things which do not exist.
So let's look at the numbers.
Craig Keener cites a large variety of sources that give us numbers for different groups, and he often refers to hundreds of millions of miracle witnesses (Miracles [Grand Rapids, Michigan: Baker Academic, 2011], 762). One survey found that 48 percent of people in the United States claimed to have witnessed at least one miracle (238). Even among noncharismatic Christians alone in the United States, more than a quarter claim to have witnessed a healing (505-506). Surveys and other sources have found that half or more of converts to Christianity in China claim healing, their own healing or somebody else's, as one of the reasons why they converted (264, 297, 300-302). Keener notes that "In sub-Saharan Africa as a whole, 56 percent of Christians claim to have witnessed or experienced divine healing." (313) He cites data showing that most doctors claim to have witnessed one or more miracles among their patients (427-428, 721). In some countries, half or more of Christians claim to have witnessed an exorcism (813).
So by the numbers, hundreds of millions of people give witness to miracles. This is a problem for a naturalist, because in his world there can be no miracles. Even a single miracle proves his entire world view false. How about hundreds of millions? Let's say that most aren't actually miracles and let's limit it to things science cannot possibly explain. How many are left? A million? A thousand? The problem with taking an absolute view and pretending that the physical world is all that exists is that even a single contradiction disproves the theory. It's the scientific method, remember? You can't have an absolute law with even a single contradiction. That's an incredible amount of faith you put in that world view.
In this forum alone there are people who have experienced the supernatural. Being among them myself, it's easy to see why I see a purely naturalistic universe as a scientific impossibility. The denial it takes to live in such a world speaks volumes about your faith, though it is perhaps misplaced.
My challenge to all those who deny God's existence remains the same, though most lack the courage to take me up on it. The Bible says that if you seek God you will find Him. Those who deny His existence have never looked for Him. It's like saying that I don't have a 1/2" wrench in my toolbox without ever looking. It's the voice of ignorance proclaiming something to be a fact and yet having never investigated it fully. The problem with looking for God is that you might find Him. That would toss a monkey wrench into everything that you believe. The search for God, however, would add credence to your contention that He doesn't exist.
People who proclaim that there is nothing beyond the natural world who have never looked for anything beyond the natural world have no evidence to buoy their assertation. A wise man seeks his own answers and believes the result of his own investigations. There are people on this forum who don't THINK you're wrong, they KNOW you're wrong because they've had personal experiences to prove it. Why not ask them?