I got home last night and started playing around with the settings. Your idea was great, however, the moon does not have the same settings as the sun, so they looked odd next to each other, like the image of the moon, although replaced with a new texture of the sun, just stuck out too much.
However, I then thought, why not make a new texture for the sun, with 2 smaller suns, then adjust the size?
It too did not look right because the actual "sun" EEP uses is not using the texture you upload. So I deleted one sun from the image, shrank the other down, and got this in the image below.
Thanks for leading me in the right direction, I would have never figured this out without your help
Anyway, now that Tatooine has its binary suns, I can get to work on multiple moons using the same process!
Binary Suns of Tatooine by
TatooineRP SWRP, on Flickr