Unlikely, as you have said without being arrested. Yes you have a right to protect yourself and your property, and also a right to protect others, but it's a minefield. It is likely if your actions were very very mild, and the consequences were minor that the police wouldn't arrest - but as soon as your seeing any kind of injury caused, or the slightest doubt over the reasonableness of the force used, then you're looking at being arrested. The more serious the injuries and/or the more doubt over the issue of reasonable force, then the further it is going to go through the courts system - right through to a final appeal against a conviction in the house of lords!
Short answer, there is no hard and fast rule, many many things will influence the decision, as mentioned by nephilim and confusion.
Key note, most bouncers aren't working under the right to protect others when they get physical, they are using the licensing laws that enforce them as deputees of the licencee to use reasonable force to effect the eviction of undesireables, and then if that person becomes violent towards them, then they are using the common law right to self protection.
Shortty