My take on each one individually. . .

has daily drama from the ex's (2)
That's a judgement call. How much drama, what kind of drama, do you think it will (or even CAN end at some point).

brings up my ex's on a daily basis
You've only been together a month. Do you think she'll stop EVENTUALLY? She may be feeling insecure in the relationship or something else. It is relatively new so do you think it can stop in the future?

no job
She's 22. If she doesn't even have a PT job, that's a little screwy, but don't expect her to have chose a "career" at such a young age. Does she look like she's trying at least?

no education
I'm assuming you mean college here. Plenty of people don't go to college or go back at a later time in their life. She's young. Do you think she'll go back at some point? If not, does it look like she's looking for some career in the meantime or SOMETHING? You're 26, you may already be set in your ways as far as education/career goes, but she's young and she knows it and is probably not looking far ahead into the future.

bulemic
That sucks. Get her help IMMEDIATELY! As for me, I couldn't be with someone that was. Maybe if they're past it, but not while they're in that condition.

negative attitude
About what? Specifics would help out here.

big ego
Is it just me, or is it almost an oxymoron to have a big ego and a negative attitude at the same time? As for myself, I like girls with a bit of an ego. Shows confidence. And it's fun to be able to knock 'em down a few pegs when they screw up (which they will. You just have to make sure you catch it)

tattoo of ex's name just below her waist
She doesn't have a job. I don't see how she could afford to get rid of it. Besides. That's the past. I wouldn't care. But I'm more easygoing than most (obviously moreso than you, as I can tell already)

however, the sex is great!
PLEASE tell me there's more good stuff in the relationship other than this. If not, make her a booty call. Cause you can't have a great relationship based SOLELY on sex.