I don't believe we humans are all that unique in the grand panoply of the universe. In our own solar system, yes. Yes we are the one and only species of our kind. I don't believe we'll find other intelligent life next door. At least not indigenous intelligent life.
However, we mustn't allow ourselves to become so insular in our thinking, or so arrogant in our own exalted view of ourselves, that we fail to use our God given powers of observation and reason, concerning the question of life elsewhere in the universe.
Consider the incomprehensible vastness of just our own galaxy. It's 100,000 light years across, and contains about two billion stars. Through direct observation, we've now discovered that planetary systems around stars are the norm, not the exception - which means there may be 20 to 100 billion planets in the Milky Way galaxy alone.
The percentage of those planets which are earthlike is probably small, but even if it's only 1%, we're talking a possible 20,000 to 100,000 worlds that look just like home, and which are capable of supporting life as we know it - including intelligent life like us.
And we're only talking about our home galaxy. Extrapolate the probabilities across the known number of galaxies in the visible universe, and the sheer scale of the numbers argue for a virtual certainty that intelligent life exists in great profusion all across the cosmos.
When you consider all the animals that inhabit this planet, past and present, we are the only ones that contemplate whether life exist on other planets. This alone should suggest that we are unique to this planet-a being that has a moral code that tells us murder or stealing is wrong. And as such we differ from other animals by thinking, creating, reasoning and contemplating. The fact that we are discussing the possibility of life on other planets is evidence that we differ from other primates.
You suggested that, given the statistical odds, there must be life on other planets. I would offer that there is evidence to suggest a spiritual realm exists here and now, in perhaps a parallel universe. Yet, while aliens seem a distinct possibility, many simply fail to believe that a spiritual realm could possibly exist where “aliens” could exist. Science fiction writers talk about travel through worm holes or the existence of parallel universes. There is far more solid evidence to support such a possibility with the occasional photographed of “ghosts” and other supernatural happenings recorded in testimonies of various people. All one has to do is Goggle for various pictures of ghosts or other unexplained phenomenon. Yet, despite the evidence, people remain skeptical. It is much easier to believe statistical probabilities then things we cannot explain.
So, if we are talking about a spiritual realm and alien beings, I would suggest that it isn’t all that crazy to believe in the existence of God. And if God exists then one would have to assume that He exists to make Himself known to us.