It sounds like to me that you baited the last two umpire's into getting ejected. The reason that you picked up the rule book off the ground and quoted rules is beyond me. You were clearing showing them up, and if I was one of those coaches you would had to eject me as well.
You have to let those guys be the one's to get themselves ejected. You shouldn't be helping escalate matters.
It's up to the umpires to keep law and order on the field. If you have one that feels that he needs to show up coaches, then he needs to go find something else to do with his time. If you were in my association and they heard about what you did, you would have been fined a games pay and suspended for a month. Possibly the remainder of the baseball season.