The Greatest Story Ever Told (or not)
The dimming over long periods is now questioned, but it dims (at last viewing) ~ every 2 years, and stays dim for one day. so, how would that work out here with our sun ? very roughly mars has a two year year , and a little further out a shield for the sun would travel at 20 km second. A day at that clip would transit the disk of the sun, seen from far away, in less than a day, ~the length of the dimming of KIC 8--. That dimming feature would look, if in our solar system, 1/2 times bigger than the Sun,or (Moon) when seen together. Or it could be 2 features orbiting at Saturn's distance and appear 1/5 the size of the Sun (or Moon). So these occultations every two years are not something so outlandish that it could not be visualised here, If only we can have them light enough, but opaque. From a stellar distance the occulting features would look of equal size of course. so, it is not that alien after all, if the shade could be a disk like Saturn's, it would have to be only 5 km thick.
The good news: if this was the solar system, The occulting feature would be looking like a body the apparent size of the moon but in Mars orbit, and ----if it is aliens using that size mirror to beam KIC 8 energy for propulsion to their space ships, they are not coming our way, we are in the shadow of their structure.