Hi Jimmy,
If I generate a like button using their like button generator page, and paste it into html view in the editor in an html content instance I get the same error when I click the like button.
The Community page on this site has a "Like Box" which is a different widget than the "Like button", so maybe the Like box is not broken but the Like button is broken.
So as far as I can tell their like button is broken at the moment and the problem is on their side. The iframe code is not missing in the blog, if you view the source of the page you can find it and it looks correct.
Best,
Joe