It was silly to make a team with a 7 syllable name. Wests Tigers got it right. As for the Dragons, most people will call the team "St George" or "The Dragons". You should have called yourself the St George Steelers or the Illawarra Dragons.
But it's well known that merger wasn't a real merger. Illawarra got 6 games down south, the Dragons got "St George", "Dragons", the Red V, the jersey design in general. Look at the logo, it's the old St George logo with "Illawarra" on the bottom of it. All the important things that define a club have been adopted from St George. It's a bit late to talk about it now, you should have done a better job negotiating back in 1998.
But because you didn't, Illawarra will go the same was as Warringah, Sutherland and Bankstown.