One thing missing
Having read these comments I notice one thing.
The thought behind our future space travel is often that of colonisation, Mars for instance.
Yet many posters consider alien visitations as just that - a visit, sightseeing, saying hi.
Any very advanced civilisation will be far more conscious of the limited life of their star, and if they have the same drive to survive that we have, they will eventually wish to establish colonies outside their solar system to ensure the survival of their species.
With the expense involved, this is the reason for interstellar travel that makes most sense. therefore, we can imagine that the most likely motives of any species that notices us will be colonisation - likely including replacement of our own species.
Now this does not make me call for a halt to active SETI just yet. The distances involved are so huge that there probably isn't a problem for a million years or so ( the idea of 1000 years is a bit short, the likelihood for the nearest space fairing civilisation would be much, much further than 1000 LY).
Active SETI is most likely to attract a phonecall or two, not visitors (conquering or otherwise), and that would be rather cool, even if hostile in nature, it would still cause a re-adjustment for us that could help us evolve out of the primitive religious tendencies we currently possess in abundance and stand more chance of destroying us than anything else.
As for us and our space travel, we have perhaps a half billion years before we all have to move to Mars (and work out how to shield ourselves from the sun's UV), and then another half billion before Titan looks like home, so there is no great hurry.
FTL travel and other Star Trek fictions remain for the moment just that - fiction. Unfortunately physics doesn't allow it and having a belief that we are just not advanced enough to achieve it yet doesn't change physics. Apart from wormholes (extremely doubtful in practise) there is no way to achieve FTL travel.
With the 'window' argument mentioned far above, I agree that we may find evidence for aliens only as archaeologists on some distant planet in some distant moment in the future, and also that that is how we will be discovered by aliens.