UFO Sightings: People are kooks. I don't believe that any alien civilization that is advanced enough to travel to the Earth would bother. We simply don't have the necessary technology to be interesting to them. We would be one of the planets designated by the mythical Star Trek Prime Directive. That is, if any alien life is even advanced enough to travel the stars, which I highly, highly doubt. (More on this later)
Extraterrestrial Life: It has to be out there. If the universe is infinite, and ever expanding, it would be a statistical impossibility for similar sets of circumstances that led to life on Earth to have never occurred anywhere else. The same rough equivalent gases, in the same mixtures, the same elemental compounds that formed the planet the correct distance from the sun, and all that. When you have an infinite universe, it simply must have occurred elsewhere as well, probably many times. However, those statistically virtually guaranteed life forms have only had approximately the same amount of time to develop and evolve as we have. I find it highly unlikely that any of them could have advanced significantly far enough along to enable them to travel the stars without it being a long term multi-generational type situation. However, if they are going to invest in the sheer amount of time in building a multi-generational universe crossing space ship, wouldn't they want to maximize the usefulness of such an undertaking? IE, they probably aren't going to slum around wasting resources going to Earth to watch us only get as far as the moon, being completely incapable of interstellar travel. They are going to have the technology to scan us from very far away, and would thus know to more or less ignore us, as we have nothing to offer them. They will skip Earth in search for greener pastures. We simply aren't advanced enough to be remotely interesting to such a species.
HOWEVER. If there is no life on other planets, anywhere else in the universe, think about the implications of that. That in a universe that is infinitely large, and infinitely expanding, that life has only ever occurred once, and for what in universal terms, is a very short period of time. Given the vastness of the universe, we would be an impossible anomaly. With the odds of 1 vs. infinity, you would have to conclude that the natural state of the universe is death...or, more accurately, the total lack of life. Yet, here we are, we exist, in complete defiance of the universe. If we are alone, we are UNNATURAL. But if we are unnatural, how can we exist without someone else causing us to exist? Simply put, if Earth stands alone in the universe, as the single beacon of life in an infinity of death, we must have been purposefully put here, in spite of the universe's natural inclination towards death. But, if we were purposefully placed here, who, who is not us, could have done so? There is only one answer. The only one who could possibly be powerful enough to create life in a universe of death is one who is greater than the entire universe, someone who exists outside of the universe, who is not beholden to it's rules. Why, I bet that someone who is powerful enough to flat out ignore the laws of space and time to put us here, where we clearly do not belong, is even powerful enough to create a universe...hmmm.
Some may want to assume that I am arguing that they are opposites, but they are not. The existence of alien life on other planets does not prove God does not exist. However, the complete lack of alien life anywhere else in the universe would prove God must exist in order for us to, because of the sheer impossibility of it all. 1 chance out of infinity are simply not odds I would care to take, unless I knew it was rigged.