I'd say I'm rather dominant in the way I handle horses as well. Or, really, I'm very laid back-confident in the way I handle horses. I don't fight, I don't take "no" for an answer, and I don't get excited.
I suppose it should be said that as a person, in my daily life, I am more likely to 'give' rather than fight. I have a few strongly held beliefs that I won't give up for anything, but most other things I'll say "ok, whatever you say" before getting to the argument stage. I wouldn't call myself exactly 'dominant', but I'm absolutely not a push-over.
My preferred types of horses would be either REALLY dominant but not confident, or more submissive-sensitive. I find I really enjoy+work well with horses that feed off my confidence and NEED my confidence to perform their best.
I have a hard time working with naturally confident horses, mostly because the confidence I put out is more an act than anything - as in, I find myself easily intimidated by horses that are uber confident. I try not to but, when working with a dominant-confident horse, I begin to feel like that squirrel off Ice Age.
Scrambling all over, fighting a losing battle. Onlookers don't see that, I guess, but I sure feel it and I know the horse does too = not a good combo. I always come through in the end but I hate wondering if I might 'lose'.
I have to work with one of those^ at work and boy, it is the worst. It's getting better but I haaaaate that horse.
I greatly enjoy horses that put up a "big bad" front but are really huuuuge wusses. Basically I like horses that do what I do to them, to me.
1. I think it's hilarious and 2. I enjoy harnessing that sort of 'fire' and using it for my purposes. I do find that sort of 'on your toes-ness' tiring on the long term and I'm not sure if I would want to own a horse like that, but I sure love working with a horse like that everyday.
Lacey is submissive-sensitive, but she will take the dominant role if no one else steps up. I can't really do her personality justice with words, but she's truly just what I need. Smart, capable, needs me as much as I need her, and sensitive to my every request.
I can let down my guard with her too because, though she needed my confidence in the beginning, she's now on to trusting herself most of the time. She still has times when she needs her "security blanket" -me- but most of the time she's good on her own. That to me is the most rewarding - she still needs me, but as a result of our connection, she knows how to react properly to things instead of losing her mind like she used to.