Nested Accordians do not work well (or as advertised) in Firefox!!

Nested Accordians do not work well (or as advertised) in Firefox!!


I was wanting to present some of what is on the page ,
http://mynichecomputing.org/testpage/ , to a group of Twin Cities
web professionals (when I present about jQuery) but it looks like the
accordians aspect of jQuery UI does not work as advertised.
Help with the above would be greatly appreciated.
Looks like I may not be able to present about jQuery UI, when I
present
about jQuery because of this and because several jquery.ui programs
fail to run with jquery 1.3.1 & jquery.ui-1.6rc6 . My trust in (and
current
review of) jQuery UI is not that positive.