Hey guys. Just a heads up on this, since reverting to previous versions is unideal (due to the fact that we cannot support pre-2.0.10 builds, and because those earlier versions are less stable than the current release): this is very likely a byproduct of a jQuery conflict. We've had a few reports of this and it's due to the fact that we updated the jQuery used in 2.0.10 so that it was current and compliant with WP's standards.
As a result, certain themes/sites that aren't running the latest jQuery saw things break. When I just checked the version of jQuery running on your site there, ArchiBish, it is 1.5.2; since The Events Calendar uses whatever version of jQuery ships with WP (as of 3.5, this is at least 1.7.2), any site running below 1.7.2 is going to encounter problems. It looks like in your case either your theme or another plugin is swapping the default jQuery for some older version, which is leading to these display problems. My guess is the rest of you are in the same boat.
Sorry I couldn't offer up more. If you can find out what the conflict is caused by, I would definitely encourage updating so that you can run the latest 2.0.10 release (which includes a number of stability improvements over 2.0.9). If you have any other questions I can answer to help ease that, please do let us know.