You don't need a mobile theme, you need a responsive theme. This will adapt to any screen site: small phone, large phone, small tablet, large tablet, laptop, desktop and even a big flatscreen TV.
One of the problems is the link to the census on the homepage. It lesds to a 404 page with a depreciation warning.
The homepage sidebar is far too long. You end up with a great chunk of whitespace below the two icons. The two icons are anonymous until you hover. But a hover doesn't work on a touchscreen.
The menus are all in capitals - makes them difficult to read. And again, hovers don't work on a touchscreen
The sidebar has broken links and missing info. Some pages have content hidden under the sidebar.
There is a column of social media icons down the left that don't work.
All of these things are easily fixed with the right theme and a bit of planning. There are loads more improvements you could make but getting the right theme would be a great start