Just tried it again with Firefox 3.6.13 then updated to 3.6.15 as well as tested IE 8.0.6.0001, no issues that I could see, all clicks worked as they were meant to.
When was the last time you cleared your Cookies and History for these Browsers? I can't place my finger on anything else that would cause this sort of issue for one individual and not another, other than the Browser using expired Cookies or old History links which impact new items from loading properly.
Also, not that I think it has anything to do with anything, but were logged into the Faces Site when performing these searches?