Although reading the book recommended is good, one question that I have to ask now. Why did you take them somewhere to be around cats they don't get along with? Surely, you didn't think that was their desire? This is the equivalent of taking a young child who hasn't had their nap with you shopping and being surprised when he doesn't behave well. Do they like to ride? Like their carrier? If not, thats one more unpleasant experience you created. Last, they were obviously angry at each other and hissing. So, you then put them together in a cramped carrier? Two more direct observations....bopping a cat on its nose is wrong and can only escalate its anger and turn it to you. Why did you think that was a good idea? And, last, you know they Maddie is angry, hissing and attacking and you stick your finger in her face and yell at her. I would have bitten your finger too. Why would it surprise you that she did?
So, in summary, you created a very unpleasant experience for your cats and, then, you handled that experience poorly. Read the book, but also use common sense. Always try to put yourself in their place and think how they feel. There will be times you still won't understand. However, nothing you have described here seems surprising at all.