Taz must have been gifted with his whirling by Looney Tunes creators, as the actual real guy is timid and is only aggressive when attacked. They've obviously made the character as distant from the real one to create more comedy. On the other hand the Donald T-Devil is naturally not funny but dangerously looney naturally.
As far as Wiley and Taz getting the Roadrunner into a safe, the safe itself would have to be a huge one or else they'd never get that target through the door, and just getting to any door big enough would present a real problem.