So broadcasting the 1936 olympics loud enough to be picked up within a few light years might not be such a good idea? And pumping out an aggregate radio signature approximately equal to that of a small star might not be such a good idea?
Thing is, with the size of the universe, our signals may only reach civilizations with sufficient technology to understand, millions of years from now. And a million light years is minuscule in itself.
Ooops, too late.