Think I need a little clarification there Brett. If you don't have menus how do you navigate, by power of mind :-)
As for right hand menus, I agree with AlbinoRhyno
these studies re scroll bars are a tad dated.
But, and here it comes.....
Webusers are monumentally stupid. They are also huge on instant gratification and left hand menus have been a stable component of websites for so long now that it's hard to break the habbit.
Confuse them and lose them... (just made that up I rather like it!)
I really like the idea of right-hand menus for more techy sites etc but if it's for the general 'don't know how to change my home page' brigade give 'em a left hand menu everytime.