[aleekat]

In other words while I am waiting for the overflow tank to add anti-freeze while the engine is running, I am operating a car with out enough or no liquid at all which seems nuts, is there some technique that I don't know about to add anti-freeze?

With engine off, you fill up the overflow tank first. I will burp some. Just keep filling until it stops burping. Then start the engine. You shouldn't have to add much more after that since you didn't drain the entire system. And you carry some with you the first few times you drive it.