I think the most logical answer is that I don't know. There are so many factors that have to be taken into account when attempting to calculate the existence of intelligent life that we, having access to only one planet with intelligent life, do not know at all. For example, one of the factors outlined in the Drake equation is the lifetime of a technical civilization. We have virtually no way of knowing this- do technical civilizations last only a few decades before destroying themselves, or do they, on the whole, exist continuously after entering a technical stage? That difference could easily determine whether we are alone in the galaxy (and even the universe) or whether the universe is filled with life.
That being said, I find it extremely likely that there is intelligent life in the universe. There are at least 200,000,000,000 stars in the Milky Way, and billions of galaxies like ours are believed to exist. It seems likely that protoplanetary disks, and therefore eventually planets, will or will have formed on a great deal of them, but even if they only form on, say, one-third of stars, there will still be quintillions of stars in the universe, billions in the galaxy, that would have planets. Although virtually all of these planets would probably be unsuitable for human life, life of other biochemistries would most likely be able to evolve. For example, it's unlikely that, if life evolved on Mercury, it would be based around amino acids, as the heat of the sun and rapid temperature changes would destroy them.
Essentially, my point of view is that, while life exactly like us is, I think, unlikely to exist, I find it extremely likely that intelligent life in some form (most likely very different from us) exists. (By different, I mean different biochemistries, completely different from anything that could exist on Earth, rather than "green-skin, bug-eyed humanoid" different.)