I don't believe that the horse being in "our space" has to be a sign of disrespect. First of all, it depends on what the horse has been taught; if we haven't told it that this is something we don't want, then how is it a sign of disrespect? Second off all; if we HAVE told it that we don't want it close, why do we have to look at it as disrespect? Why not use the word disobedient? And, why not take a closer look at WHY before we start making assumptions. I think the word respect and disrespect are overused and kind of hard to understand.
When I handle young horses as well as older, but insecure animals, they often try to get very close. They seem to want my support and help, and in my view that is far from disrespectful. Sometimes, if it's a big horse that is showing stress in a way that makes me think it is likely to jump in the air at any moment, I will get it to move away from me.
I don't do that with a light heart; I can see that I am pushing it away when it needs my support, but I do it to make sure I don't get hurt. Not that I think it would want to hurt me, but in that state of mind, when it is stressed by it's surroundings, it can easily happen that it gets spooked and can run me down unintentionally. If I am knocked down I won't be much good to the horse, so I get it to move away from me so I can try to help it with a distance between us until it has calmed down a little.
By doing that I make it even harder for the horse and it takes a bit longer for me to help it, but I also need to feel safe in order to be able to give the horse the reassurance that it needs.
As soon as I feel that the horse isn't explosive I will let it be very close to me, and from that position I can help it feel like it's OK.
I can see NO disrespect in a horse acting this way; the horse is doing the same thing a youngster does with it's mother. Notice how a horse often will get very close to the other horses when feeling upset! If a horse does that with me, I think of it as a good thing rather than a bad thing; the horse is showing me that it want's my support.
There is a lot of talk about us being the leader. What is the role of the leader if not this: someone they can turn to for support when they are feeling upset and insecure?
O'boy, I think I just entered another aspect of these body language signals, and this is a bit of a can of worms I'm afraid; the issue of leadership! :) I will get into that soon, it really is related to the calming signals in a way, but that will be in a separate posting :)