She is not halter broke if she is disrespectful as you had posted.
A halter broke horse should do whatever it is you want on the ground, respectfully.
Back, follow, left, right, turn on the forehand/haunches, side pass, two track, leg yield, ground tie, cross tie, be able to be groomed, stand for vet/farrier/dentist and more. (showmanship patterns etc)
When your horse can do that, it is halter broke. My horse, is not halter broke - yet.
After that, I would start lunging. You do not need a round pen to do so. Just really good body language and sense of direction. When this is mastered (w/t/c/stop, back, change direction) on a loose line in a perfect circle (you do NOT pick up your feet, you simply shuffle around) then you can introduce tack.
After she will stand and lead with tack (also give to pressure on the ground from the bit), practice lunging with tack. Get back to the perfect lunge, only with tack.
THEN you can start backing her. Stepping in the stirrup, introducing weight, laying on the saddle etc.
THEN you can start training her under saddle. Which would take more than a thread to explain, let alone a post.
Hope I helped. Like I said, I didn't read the whole thread.
Dahlia <3 1/4/2012