The answer is almost certainly no. To my mind, Facebook dominates for three things: basic personal info (looking up someone's phone number, seeing where they work, etc.), photos, and events. I don't know Orkut well, but if beating Facebook includes becoming dominant in the U.S., they'll have to do something truly fresh, not just play catch-up.
Do you think all those users in Brazil and India have the Alexa toolbar installed? Most of them are not even aware of Alexa. Which other global traffic analyzer do you recommend for this comparison? If any.
I don't quite consider MySpace as a "social networking" site in the same league as Facebook or Orkut. How many people actually use MySpace for business networking? MySpace is a teen station.
If we're talking about business networking, I thought LinkedIn was the winner. MySpace and Facebook are both "social networking" in my book, Facebook even moreso, because I only friend people I actually know (However this could be just because I use it in the college context, not the business context).
I'd be interesting if there are different usage patterns based on the main use of the network. I see it as keeping in touch with my friends rather than "networking" in the business sense.