My brooksi is a lot more mellow than my okeetee. I can actually take my eyes of him while he's crawling around on my lap because i know he won't go far. While my okeetee has calmed down a lot since i got him, he's still a little flighty and i always need to keep my eye on him. Another way to explain the difference between the two is that my brooksi "explores" when i handle him whereas my okeetee is trying to "escape". At least that's the way i interpret their behavior. I realize that it's mostly me projecting my human emotions into it.
They're also different in their feeding response. Both are excellent eaters and never refuse a meal, but the brooksi has struck at me once during feeding. Kings in general are known to have a strong feeding response and may bite first and ask questions later. Some of this behavior can be prevented by training (which i'm currently doing), but there are some that can't be changed. I'm sure there are corns that behave similarly to kings, but speaking in general terms, i would say that the feeding response is the biggest difference between kings and corns.
In terms of musking and biting for other reasons, my brooksi hasn't done either (with the one exception when he bit me the first day i got him, which is understandable). In terms of activeness, both my snakes are not active and spend the majority of the day/night inside their hides. They're still young though, so i expect their activity level to increase as they get older and feel more confident.
I have also heard that there are differences in temperament between species of kings. Brooksi are supposed to be one of the most mellow, while cal kings, especially albinos can be bitey. Your mileage may vary, but feel free to ask around this forum or other forums such as kingsnake.com and you can get a small sample response.
With all that said, i love my brooksi. He's got a great attitude and i like how he *always* has that hungry look in his eyes. I would recommend you to get one, assuming that you don't mind being bitten occasionally by mistake.