Sounds...interesting to say the least but it doesn't exactly sound plausible. Looked on wikipedia and it said one of the webmasters had admitted that at least some of the stuff on the website wasn't true. Generally I agree with dead0man, although it is possible - though not a common occurrence - for a very large group of people to keep something quiet - Bletchley Park is a prime example.
I am pretty sure it doesn't exist. A secret this important can only be kept by like 150 people, not enough people for this sort of conspiracy.
Although, what's interesting is that we will soon have the Kepler mission online. With this mission, it could be possible to find some alien planets that are in our star cluster.
http://en.wikipedia.org/wiki/Kepler_Mission