Domain registrars have a long history of making transfers hard. Godaddy isn't the only registrar to do stuff like the 60 day lock. I just wrote up a piece on my blog yesterday about this very subject - http://www.byte.org/2011/12/26/evolving-the-domain-experienc...
There is no way to shortcut this procedure if you are the legitimate domain owner. If you use a privacy guard to avoid publishing your name/address, then you will run into this issue:
You aren't allowed to transfer your domain away while the privacy guard is in effect, so you'll need to change your contact information. Bam! This triggers the instant 60-day lockout, during which time your full contact information is visible.