I really appreciate the input. It's definitely on my list. I tried to mess with it once before, but it turned out to be a little more complicated than expected, so I reverted the changes. I think the layout of the main site would be fine if it just displayed regularly on mobile devices, so you could zoom into the main posts column or the sidebar or whatever, but the base theme I've customized has some messed up mobile theme code, so I'll have to dig into it when I have more time.
It looks messed up on my phone too, but it seems to have different issues than yours. Basically on mine the The logo takes up the full browser width, and the content takes up a little over 1/2. The sidebar gets shunted to below the main posts, so the login and site status stuff is just before the footer content.
No need to send pictures at this point, since I'm going to just try to remove all mobile formatting so it uses all the same css as the main page; but once I get it working for me it would be nice to have other people test it on their devices.