If this is the first time you've added Facebook integration to your site, the Like button may take a few days to start working. That's because Facebook wants to scan multiple pages from your site to make sure your content isn't 'bad' (malicious, spam, etc). You can use Facebook's URL Debug Tool scan a few individual URLs from your site which will make the Like button work on those specific pages and speed up the process of Facebook learning that your site is 'good'.
developers.facebook.com/tools/debug
I ran the debugger on the page you linked to, and now the Like button works there.
Hope that helps!
Alex