The most common cause for a Flash file not displayng/functioning properly in different browsers is errant embedding code. The embedding code used for the page you show is the old version, Flash 8 and earlier. What you should probably do is update it to use the swfobject.js embedding that is integrated with the newer releases of Flash. Just Google swfobject.js and you should find some help for getting/using it.
Just a note, It loads fine in IE8 as far as I can see.