Not really.
I'm just going on probability.
I like the idea that we are not alone, and seriously, looking up at everything, I think it's highly unlikely that we are.
I totally agree with your perspective on this. It's fundamentally a mathematical logic that life must exist when you quantify the sheer size of the universe, we aren't even taking into account the recent theory of multi universe.
You're not just going on probability though - the probability is unknown. It's faulty logic to say the huge number of stars/planets in the universe makes it a statistical certainty that we're not alone because the chance of life arising could be, being cynical, so vanishingly small that even given the vast number of stars/planets, it could still be trillions-to-one that intelligent life arises in the entire universe, and we could well be it. We simply dont know because we currently have a sample size of one single example of life occuring. With that and the uncertainty of other inputs of the Drake equation, one can plug in arguably plausible values for the variables and get anything from countless millions of civilisations buzzing around to most likely just us. We have some reason to be optimistic, I guess, since life seems to have sprung up pretty much as soon as it could be expected to after the late bombardment, but that's no grounds to be putting solid numbers on probabilites. Even if we find life in our solar system we still have a **** sample size for putting a number on the probability of abiogenesis occuring in the wider universe.
So chalk me up as truly agnostic like Castiel.
Having made my position clear, and you can probably guess my level of skepticism of UFO stories, I'll share my own anyway

. Happened a long time ago now and I still haven't explained it to my satisfaction...
Mid 90's in my teens my bedroom was in the loft, and I'd often open the window and stare at the night sky generally contemplating the awesomeness of the universe and wondering about it and what could be out there, etc etc. One night I was doing just this and a light caught my attention in the sky like a yellow star coming into view not too far off the horizon in terms of elevation. It became clearer and brighter and I could soon see it was moving relative to stars. As it approached I could eventually determine it was multiple sources of yellow light rather than one and as they passed rapidly directly overhead I could clearly see it was four yellow point lights in a 45 degree diagonal 'formation'. I ran down the loft stairs to the other side of the house but knew I'd be far too slow to see them again. The whole event from first noticing them in the distance to passing overhead lasted around 5 seconds.
So what was that then??

Can't have been regular planes because at the speed they traversed the sky which was very much like when a low flying fighter jet passes over, any plane would have been deafeningly loud, and these were silent. Missiles? Over Bedford? Something burning up in the atmosphere? Possible but I've seen hundreds of normal 'shooting stars' and this was nothing like them - fainter, yellower, far too long in the sky, etc, but maybe? I guess I have to also accept that me hallucinating the whole thing is up there on the list of possibile explanations way above aliens, but that sits uncomfortably with me as I've never to my knowledge hallucinated anything at all before or since, even, regrettably, when experimenting with interesting mushrooms later in life.
So yeah - cool story bro, etc. Really wonder what that was. Wonder if anybody has that facepalm obvious answer?