Most tieing issues work themselves out on their own. However the biggest problem and most dangerous as you mentioned is her moving into your space when tied. I have seen this alot and it is an easy fix with a little consistency. However you do have to act like the boss mare. Start tieing her everyday for a week for two hours. The first twenty minutes stand at 45 degree angle from her and when she starts to think ( I mean before she moves but when she thinks about moving) toward you just give her a little love tap on the belly with a 6ft or so quirt. She will probably move toward you anyway and so your next tap should be progressively harder until she moves back the other direction. Relax as soon as she moves the opposite direction. But be ready because she is going to start thinking about moving again really soon. You have to be really consistent and firm. If you accept nothing but good behavior when you are standing near her she will work the other stuff out on her own. Continue this excersize on both sides for a second week. Just as the boss mare would do discipline swiftly and consistently with only as much force as needed. Meaning if she will stop moving into your space with a tap then a tap is all you need. But if she needs more you have to be willing to apply more. If she moves back out of your space then you have used enough pressure. If she continues to come into your space then you are not using enough pressure to make her not want to do it again. Coming into your space is your #1 concern. Stop that immediately. She needs to learn early that it is her job to stay off of you at all cost.
This is exellent advice! Im going to ad that you also need to keep yourself safe, so don't stand against something solid like a wall, make sure you have some room to escape should she try to step on top of you! With that said, don't move YOUR feet unless you HAVE to, be firm as said above and make HER move, by using minimal to excessive force as necessary. Think of it as what horses do in a herd, when one tells another to move, it means now and sometimes all it takes is a "look" or twitch of an ear. If that horse doesnt move, they get a clear kick or bite that doesnt tickle by any means. Don't be afraid to teach her that you mean move now not when she feels like it. Tell her nicely once and then make it happen. I am working with a horse that has/had the same issue, you just have to be consistant and teach her she is never aloud in your space unless invited and stepping into your space will not be tolerated. It sounds like she needs ALOT of tie time. I would be tieing her for a few hours a day and just letting her work it out on her own. They do, just watch her she doesnt get tangled somehow by getting all worked up. Some horses just need the time to realize that standing still is way less energy then being silly! Don't talk to her, don't yell at her as some people do when they paw whinny, etc..just leave her and keep an eye on her. Don't untie her unless she's standing nicely.