C'mon. Both religious individuals and skeptics...when speaking of whether or not there are gods...ARE MAKING WILD, BLIND GUESSES.
No, they really are not.
Religious individuals hold beliefs largely based on what they were taught by their parents, or perhaps some event during their life which leads them to a particular belief.
Materialists largely base their beliefs on scientific and empirical methods. "Guesswork" may be involved when developing a hypothesis or designing and experiment, but is not very useful when testing or verifying that hypothesis.
"Wild guesses" did not convince people to believe in Buddhism, or submit to Allah, or verify the theory of Special Relativity, or the thousands of biopsies run every day, or design the computer upon which you type your words.
There is absolutely NO WAY to get to "there are no gods" or "it is more likely there are no gods than that there are"...using science, logic, or reason.
Of course there is. Don't be silly.
The logic part is easy: Many contemporary religious beliefs are inherently illogical and inconsistent. For example, omnipotence is an inconsistent concept, as often encapsulated with the old saw "Can God make a rock that He can't lift?" If the answer is yes, then He cannot be omnipotent, because he is unable to lift the rock; if the answer is no, then he cannot be omnipotent, because he is unable to create the rock.
If the apologist then claims that their deity is omnipotent anyway, but merely "beyond logic," by definition that means that the deity is illogical. You can do so anyway, but you can't claim that said belief is genuinely logical or rational.
A less powerful deity does not have this issue, but... in that case, you're basically saying that the deity is in fact subject to the laws of logic (and who came up with those?), or jeopardizing related claims such as omniscience, benevolence, status as creator, and so forth.
There are some historical arguments, usually (but not exclusively) devised by Christian apologists, that purport to offer logical proofs of the existence a deity. Most of these were developed at times when heresy would result in the death of whoever made such an argument; none hold up to any serious scrutiny.
From an informal perspective, religion doesn't stand a chance. Almost every religion was developed in times and places when humanity had limited information, little understanding of the scientific method, little interest in empirical methods or proofs. As such, many religions are myths, upon which some intelligent people later added more sophisticated concepts (see Augustine's ideas on theodicy, something Jesus never addressed).
The science part is easier. By definition, anything supernatural is a violation of the laws of physics. E.g. if you claim that you have an immortal soul, that is going to violate all sorts of conservation laws, because your brain is made up of neurons -- and what's causing that neuron to fire? If it's a soul, then it must be receiving and sending information to your brain's neurons in a way that cannot possibly be detected by any scientific equipment whatsoever, and that is physically possible.
Omniscience is also incompatible with the Uncertainty Principle. Most creation myths, at least if taken literally, clash with evolution. A St Christopher medal won't prevent a truck from hitting your car. The list goes on.
Is it a "wild guess" to look at the geological and DNA evidence, and conclude that the story of Noah is false?
Is it unscientific to look at the geological and DNA evidence, and conclude that the story of Noah is false?
Is it irrational to believe in the laws of thermodynamics?
The complication is that the existence of gods and the supernatural is an unfalsifiable belief. Today, defenders of those beliefs are deliberately constructing their positions so that their claims cannot be disproven using empirical evidence, even though those forces are allegedly acting on physical things like neurons and neurotransmitters. In turn, though, this means they cannot prove that
their unfalsifiable belief is any more accurate than anyone else's.
The question there is the burden of proof -- who's got it? A classic response to those who assert an unfalsifiable belief is Russell's Teapot. He posits that there is a teapot orbiting the Sun, somewhere between the orbits of Earth and Mars. Am I obligated to prove it is not there?
Nope. If you want to claim it is there, it is up to you to prove it. It is fallacious to claim that something is true solely because it has been proven false.
Logically, rationally, scientifically, there is very little reason for anyone today to posit the existence of a big white dude with a flowing beard, waving a magic wand, and summoning the universe into existence.