I must say, I love this topic… I've asked myself the same thing and similar things a number of times…
The question of "would you be your friend?" is kind of complicated because in that situation it depends on how you define "you" there…
My own first impulsive answer to it was similar to yours – "no way! I hate her!" but the thing is that that perception is colored by the domineering Judgmental part… but that's because it's more than just the Judgmental part…
I started a new course just recently and the other day I found myself being open and chatty with some of my new classmates. After the last lesson, on my way home, it suddenly hit me that in the past, with previous courses, I always used to be more introverted and afraid of approaching others… so right there and then I allowed myself to feel proud of all the work I've done in therapy regarding that and for a minute or so I had a positive view of that part of me – and, like a Pavlov effect, the inner demon immediately started harping on me and telling me "That's not true! This was just a fluke! It’s just temporary! You're worthless and good for nothing and don't you ever forget that!". But seeing as I'm familiar with that voice I just told it to bug off and continued to congratulate myself... . However, telling it to bug off didn't and doesn't make it shut up… I've asked my therapist about it many times and she openly told me that she's not sure why it won't go away but last time she said she thinks it might be more like a Core Belief. She said that core beliefs get formed when our personality first develops by the input we get from our environment… and they are extremely difficult to shake (though not impossible) because they lie at the foundation of our personalities…
I'm not saying that your judgmental part is necessarily a core belief but it might explain why it seems to be the more dominant of the other parts of yourself that you described. Even your Assertive part seems kind of judgmental in its' statement of "she should knock it off". The two year old (the one from whom assertiveness came) is usually assertive towards others and not towards himself…
Anyway… back to the first part of this here post – my first impulse was to think "no way! I hate her!", my second thought was "Actually I think she's rather awesome and admirable in some ways and I'd love to have a friend like that", my third thought was "Well… actually… if I were a healthy person and I met me… I'd probably think "weirdo" and I might feel kinda sorry for me but I wouldn't want to be my friend simply because I wouldn't want to be seen with me in public", my fourth thought was "wait… does that mean I'd be an arrogant btch if I were a healthy person? Or do I just have a distorted or partially distorted perception of healthy people?" and my fifth though said "OK, this is not about what some stuck up 'healthier' version of me would think, it's about what
I would think… but seeing as I've got totally conflicting views here (see thoughts #1 and #2) how am I supposed to know what I would think of me?" and then (thought #6) it occurred to me that
in reality I know several people who have all the same issues that I do and some of them are a lot worse off than I am and
when I look at them I feel nothing but compassion and I don't judge them for the way they are at all...
Which brings me to this part of what you wrote:
I can't figure out if it's more about my outlook or the person standing in the middle.
When looking at other people who have the same issues that you judge yourself so harshly for… how do you feel about them?
If the answer is that in reality you can be non-judgmental with
other people who have the same "flaws" then maybe the problem you have with her isn't so much her flaws but with the fact that it's
you and
you, as opposed to everyone else, are not allowed to be that way…
Heh… I just remembered this girl I once knew who suffered from anorexia. She was skinny as a rail but was always obsessively trying to lose her imaginary fat… I probably weighed nearly twice as much as she did but I never had much of a problem with my figure… however one day I started thinking of shedding a pound or two and when I told her that I was thinking of going on a diet her immediate reaction was "NO! Don't even think about it!
You look just fine the way you are!". She was worried that I'd become anorexic as well but I thought it was interesting to hear her say "you look fine the way you are". When looking at me (a different person) she was able to see me as someone within range of the acceptable norm but if she and I had swapped bodies she probably would have died, felt like an obese blimp and gone on an even crazier crash diet… but when looking at me, with her frame, she would have told me I look just fine and might have even realized that I look underweight.