Yeah, if everyone believes there's an invisible dragon under my bed, then that means the burden of proof is on me to claim there isn't. And I'd probably address that with a stick.
As for assertion without evidence, how do you feel about eyewitness accounts of miracles? Or sociological reasoning on the odds of the disciples keeping a conspiracy for their whole lives? Or how about the origin of the universe - we had all the matter in the universe condensed into a single point, complete with laws that would lead to such interesting things as nuclear fusion, complex planetary orbits, and even pockets of life. Do you take it as a given that it's far more likely for that to have come out of nowhere than for a higher power to exist and have arranged it as such?
You're free to discount the evidence (though I'd be happy to debate it with you,) and dismiss the claims because it doesn't align with your experiences. But note that the idea that all this happened without God is as absurd to me as the existence of God is to you, and equally unsubstantiated.