And Earth has been broadcasting "I'm alive!" for at least 2.4 billion years, since the Great Oxygenation Event: http://en.wikipedia.org/wiki/Great_Oxygenation_Event Ever since then, any intelligence within the area of probably several hundred light years or more has had the ability to take a simple spectrograph of our planet, observe free O2 in the atmosphere, decide that's too likely to be the result of life for comfort, and obliterate the planet.
Nobody has. (Unless you believe the official Current Earth Destruction Status: http://qntm.org/board However, it appears to simply be instrument failure. Somebody really ought to fix that.)
Even on the galactic timescale, 2.4 billion years is not chump change.
Either the game theoretic optimum is not to smash your neighbors immediately (for instance, widespread orbital colonization is indeed practical and is what happens, which as people have observed changes the balance away from "smash"), or we are effectively alone. Either way I think we can discard the relatavistic-projectile-death scenario, except as a major, unplannable fluke.