That is the reason why dopamine-raising stimulants actually have a calming function on people with ADHD: they fuel this "suppressing" function of the brain, thus enabling it to calm itself.
My theory about ADHD is that there's a genetic disposition, where people need to move physically in order to have their dopaminergic systems functioning properly. Probably a bad adaption to our rather stationary lifestyle.
On top of that I think that if children are frequently interrupted and confronted with bad emotions they don't learn to focus.