I've had this problem with several Julep colors, but not all of them are this bad.
I've tried SO many different combos of base and top coats. The only thing that has kept it from peeling off my nails is to use Sephora's formula X base and top coats (but I also like and switch off with Julep's freedom top coat too). I also always use the nail cleaner by Sephora formula x as well.
One thing about Julep polish, you can't get it right next to the cuticles. Leave a tiny rim of nail next to the cuticle. If it gets on skin, water and air seep in, and it peels right away. Others might not have this issue, but I have with every Julep I've tried (100+) over the last 2 years.
I went through half a bottle of orly rubberized bonder stuff, and it was turning my nails a weird orange stain (because it is orange) and I had a lot of problems with staining from my Julep colors. It didn't seem to help the polish last much longer than usual either.
A lot of people swear by Orly bonder, but it didn't work for me. Some people love Seche Vite, but I don't feel comfortable with all the chemicals in it.
Julep is pretty finicky. You just have to play with combos until you find what works for your nails. Everybody's nails/ph etc are so different that there wont ever be "the" combo that works, ya know.