Mootools and jQuery UI Dialog in Opera 10.5

Mootools and jQuery UI Dialog in Opera 10.5

Hello,

I'm trying to use jQuery UI Dialog (1.8.2) but I need to load Mootools JS library on the same page (because of Joomla! CMS).
Well, everything works fine in Firefox, Chrome, Safari even in IE but I still have a issue with Opera browser (10.5).

There is the result:
http://www.greatjoomla.com/dialog/development-bundle/demos/dialog/default.html

If I specify the height attribute in dialog, the dialog has no height - there is "0" in source code.
When I insert the Mootools before jQuery, it doesn't work at all.

I didn't have any issues with Mootools and jQuery until now with the Dialogs. Is there some solution (or workaround) how to use Mootools with jQuery UI? Especially the dialogs?

Thanks for any help.

Daniel