My two cents worth regarding science vs mythology or science vs religion: The differences are more quantitative than qualitative. Modern (post-modern actually) science is simply a more powerful refinement of the kind of modeling of reality, using our brain as a virtual reality generator, that has occurred as long as H sapiens has been sentient. Let's say the best model medieval man had for the night sky was been one of concentric shells holding glowing orbs or angels. We now know it was absurdly flawed. But so is any of our brains internal models in some way flawed. And the flaws are only evident after having been rendered obsolete by better (but still flawed) models. Finding and admitting to the flaws as opposed to stagnating in a state of group consensus is what man as a rational creature is all about.
Our problem with attempts to statistically estimate the likelihood of "life out there", suffers badly from at least two major shortcomings. One is that, despite solid evolution of a steady trend of increasing complexity in earth's biology over billions of years, large gaps in formulating likely mechanisms for the origins of the self-replication process from arrangement of amino acids still exist. Our model of evolution as increasing complexity and diversity seems basically valid, but still missing key components. Invoking the unseen hand of providence is a kind of logical place-holder, a "why" in place of a "how" and leads nowhere. "Whys" are unending and open, and of no value to thinking models. If history is any indication, the 'hows" will eventually fall into place, giving us and the Drake equation greater validity.
The second problem seems pretty obvious. It is not possible to formulate statistical trends based on a sample size of One. Especially in light of the first problem which still leaves the mere existence of our one sample ("us") looking statistically unlikely.
IMO, our models will eventually rise to the task. But we are not there yet.