Yes the star and moon symbol is significant but not to the extent that it's just some shady occult reference, more specifically lets focus on the colors.

https://www.google.com/search?q=comet+pizza&rlz=1C1CHBD_enUS712US712&source=lnms&tbm=isch&sa=X&ved=0ahUKEwi5uLCKkc_QAhXHr1QKHRxVC-EQ_AUICygE&biw=1440&bih=794#imgrc=OX2q9chgsFHquM%3A

As you can see here we're looking at Red, Green, Blue, and Yellow

https://www.mozaico.com/media/product/2cc/custom-medallion-mosaic-of-the-masonic-eastern-star-32c.jpg

"Coincidentally" The same exact colors of the Order of The Eastern Star, the largest branch of Freemasonry in existence, spanning internationally to include men and women, their international headquarters is located in Washington D.C.

I realize there is no white on Comet pizza however in relation to the significance of the star itself white is etheral, the matter in between dimensions it cannot be seen so I assume Alefantis is just following suit to this occultic practice. It's no secret these guys are occult but now I can say more investigation needs to be done into O.E.S and it's members. Perhaps the Podesta's are also part of this massive international cult?

Check out the Washington D.C. lodge website http://www.oesdistrictofcolumbia.org/

Hot dogs littered everywhere, it also says that they run an advocacy center for children. Crazy stuff here.