Hiya Kim,
I don't know the correct answer to this, but the WA Techs will be in tomorrow.
The accordion categories aren't actual html links, they are javascript 'on click' events which effectively query the product information in your database, and return the correct products to your page. As such, you will not get the right-click menu that you would normally expect. The links on your store's home page are normal html <a> links.
As there is a great deal of javascript called to this page by your wibiyaToolbar, I suspect that there may be some conflict between that and the various side menu & accordion javascripts that are required for the side menu to function on the page. The mootools-1.2.js is showing an error, but i suspect this is to do with the additional scripts on the page.
Best way to troubleshoot would be to (outside of Dreamweaver, so there is no updating of links) try swapping your customised products_results.php with a clean copy from your download centre - upload that and check that the menu works as it should.
