Discuss what would happen if we actually did come into contact with aliens.

This totally depends on what extent we can talk to them.

In this situation, pretending for a second that this really is some sort of dyson-sphere... solar power structure... thing, it's not like we'd be able to talk to them, or really have a decent means of letting them know we're here (Not for a long-ass time, at least). So it would be huge news for a few weeks, but let's face it, people would stop caring once developments on the news came to a halt.

The adware on that site good grief....

Space.com: something interesting has happened in astronomy so it's probably aliens.

Essentially.

Even if we discovered them on some far off world, it's not like we have any means of communicating with them effectively. Chances are the discovery of another spacefaring civilization would incite fearmongering everywhere at best and worst.