HI,
Are you showing in their Buddy Lists ?
iChat 6 can have 4 types of Buddy Lists.
AIM, Jabber and Yahoo and then Bonjour.
The Bonjour one cannot Add Buddies.
It gets populated from the other Macs on the LAN that have iChat with the Bonjour account Enabled.
Your iChat takes your "Real Name" from your Address Book and broadcasts this as your Buddy Name.
I would start by checking that your Address Book has Details in the My Card (Head and Shoulders icon).
It should have of course your First Name, Last Name details at least.
I actually have the My Cards on my three Computers slightly different so that I can tell which is which in the Buddy lists.
I could see a situation where a My card was Blank.
7:35 PM Wednesday; November 14, 2012
Please, if posting Logs, do not post any Log info after the line "Binary Images for iChat"
iMac 2.5Ghz 5i 2011 (Mountain Lion 10.8.2)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
"Limit the Logs to the Bits above Binary Images." No, Seriously