CSS menu conflict/using standard modules

Am having a problem with a CSS conflict between Mobile Joomla and my vertical menu (Offlajn). Contacted them a week ago; not one bit closer to the solution today, sadly. The conflict causes the menu background to go transparent. Where in the CSS is the most likely culprit?  Iphone template CSS? I would be happy to allow somebody to take a look. Also, can you use a custom HTML module to display content such as images in Mobile Joomla? I did this and it seemed to work, but still wonder if it's a problem. One thing I used this for was to display a compact version of the main-site header. Looked fantastic.
As far as menus, can I also use the same vertical menu module as I'm using on the main site? For consistent appearance. Again, I tried this and it seemed to work fine in desktop emulation. I created a new mobile menu, created a new vertical menu module, selected the new mobile menu in the module parameters, and set the module position to display in the iphone header 2 position. I'm thinking this might not actually work on the mobile device.
Thanks to anyone who has some thoughts,
-jgribble

jgribble wrote:

mobile_iphone template is based on jQTouch framework that redefine style for a lot of html tags (e.g. ul lists are transformed to iphone-like menus, etc.). It's possible to override this styles, but usually it requires a lot of "!important"s and maybe some other tricks.

jgribble wrote:

Yes, custom HTML modules work well with MJ.
jgribble wrote:

You can try, but it depends on the module and on the device. The problem is that some modules use a lot of javascripts and css styles that are supported by few modern devices only (e.g. support for position:fixed was added in iOS5 only). So, test it before use on production site.

I'm having a similar problem with the framework CSS causing havok with the other content. When I looked at the theme.min.css file, the problem was obvious. The CSS statements intended to style the framework are so simplistic, they interfere everywhere. I changed 'ul' to 'ul.vmenu' and 'li' to 'ul.vmenu li' and it resolved my conflicts. No doubt a robust solution will need to consider other class name possibilities.