Not really Dante.
We will never get to the stage you do, as gambling is too ingrained in the culture, and the horse racing industry is too powerful, plus it would be in breach of European law.
They will likely abandon the casino plans (good idea in my opinion, just causes problems, winning gamblers generally avoid casino's unless they are lax on counting), and tighten up the advertising laws (again, has it's advantages).
There is absolutely no talk, and nor will there be, of banning gambling, off-line or online, because it would be both political suicide, and illegal.
You're forgetting this is the country where I can walk 30 minutes from my house into six bookmakers, and I only live in a small town.
As for your other comment, Brown will be far less pro-Bush than Blair was, I guarantee it.