You cannot cheat the system. If you followed along with the Twitter Support team you would notice the same answer over and over again.
Random rollover of product.
Also @ev had an #AskEv session earlier where he answered similarly.
All big services roll out incrementally. It's necessary to make sure nothing horrible happens
-@ev #AskEv session http://twitter.com/#!/ev/status/24790059721
We're rolling out slowly to make sure it works well. Thanks for your patience.
-@ev #AskEv session http://twitter.com/#!/ev/status/24788691811
-@ev #AskEv session http://twitter.com/#!/ev/status/24788420391
Now I would think there is some sort of crowd control in the event say a celebrity of a very popular twitter user complains about something.
E.g. @seankingston on Sept 28th at 1:42 PM
I Need The New #newtwitter @twitter upgrade me man :)
Then at 2:30 PM (only 45 minutes later)
Just Got The New Twitter!!.. Its Pretty Dope :)
Of course this can just be coincidence.
In any event, I think you should just sit tight and wait.
Even if there was a way to "cheat" the system you would not want to do it. You would have participated in an exploit. And can be seen as someone who can cause damage to the service [E.g. the number of server racks just for Justin Bieber should explain this.] and maybe even be banned for suspicious activity (thus losing your username and your tweets).