I've dealt with this issue a number of times, it can be solved pretty easily.
The mojo CSS handler really needs urls to be single quoted but those Aplha(Opacity) should not be quoted.
So what you can do is quote the url and then move the Alpha to a separate line with the same selector so it doesn't interfere with resolving the url for the image like this:
.ui-widget-overlay { background: #c4c4c4 url('img/ui/ui-bg_flat_0_c4c4c4_40x100.png') 50% 50% repeat-x; opacity: .30; }
.ui-widget-overlay { filter: Alpha(Opacity=30); }
Hope it helps,
Joe