I guess I need to answer my own question about FemSheps getting along.
First, to try and define them:
Sadie: Dutiful and responsible, she seems to best fit the role of "by-the-books space marine". She's caring and very Paragon, but in a quiet sort of way. She's most like Kaidan in personality (minus the biotics and social introvert ways).
Evie: My ultra Renegade whose personality is closest to Jack's. She's nowhere near THAT psychotic, but Evie is pretty rough all over and has a similar attitude towards killing: "Every person who dies that isn't me, I figure my chances of survival go up." She has a very "it's me against the universe" attitude.
Jennie: The sweetheart. If she was on earth today, she'd be the person who pulls over on the side of a busy highway to run in the middle of the street to help a turtle get across.
Tess: Tess is interesting in that I have two versions of her. She's my only very religious Shepard and has a personality closest to Thane's (or maybe Samara). She's my ultra Paragon, always choosing to do the noble and just thing... in ME1, at least. I have 2 save files for her in ME2, since I couldn't decide how she would reconcile her death with her religious beliefs. In one file, she goes Paragade and becomes quite disillusioned. In the other, she maintains her very spiritual outlook.
Kate: "Grouchy and introverted" are the words I seem to be using most to describe her. She's one of my least emotionally stable Shepards. Her heart is in the right place and she tends to do the right thing, but she doesn't make many friends along the way.
Liz: The Shepard who has the strongest walls. Her outwardly friendly demeanor and disarming appearance let people THINK they know her, but no one really does, not even Kaidan. She is my most unpredictable Shepard. Sometimes she's merciful, sometimes she's frighteningly vengeful.
Delta: Chipper, spunky, and outgoing. She manages to charm nearly everyone she meets and has a remarkably positive outlook. Her rough upbringing and mischievous streak keep people from accusing her of being a goody-two-shoes. She's very non-judgmental.
Wow, that was very TLDNR and I haven't even answered the question.
Anyway, Delta would get along with everyone. Even Kate would like being around her, and even Evie would find some common ground with her. I think Jennie and Delta would be particularly good friends. Jennie would get along with Sadie and Tess, but Evie and Kate would probably find her obnoxiously goody-goody.
Sadie and Tess have the same level of maturity and mostly the same ideals, so I think they would get along.
Liz would be friendly with everyone but wouldn't like any of them too much. She would respect Sadie the most, find Tess and Jennie to be stupidly idealistic, and avoid Kate. She'd enjoy a superficial friendship with Evie, but again, no one is getting past her barriers.
To apologize for the wall of text, here's a FemShep:

That's Tess, my spacer sentinel. (Full name: Theresa Hannah Shepard)