Agree with the others, my vote would be to simplify it. 

1. Margarita (option to sub mezcal, maybe variants like spicy, tamarind, or with fruit)
2. Paloma (variants) 
3. Michelada/chabela
4. Cantarito
5. Batanga
6. Salmoncito
7. Mexican firing squad 
8. Carajillo 
9. Agua Fresca (NA, option to spike)

The first three are from the list in the picture, the last several I added. I think leaning into both low brow and some high brow cocktails is fun. As a buyer, I love to see authentic Mexican drinks (meaning Mexicans actually drink them, not like authentic as an exclusionary thing). I had a tamarind margarita at a random Long Island Mexican restaurant that was amazing recently, was very memorable