It's all based on a faulty assumption: that the star patterns depicted in the show are legitimate. This can only be true if the premise
of the show - that these are beings coming from a different
part of the galaxy in an attempt to find Earth - is false. If the premise is true, then the star patterns are not legitimate at all, but instead are the end result of the "documenters" of the events' either inability or lack of desire to depict star patterns that aren't
visible from Earth's night sky.
If that's the case, it could be our Earth, and some of us have just been fooled into thinking it's not.