I am experiencing the same thing except only FB loads. The HTML mostly loads for the other buttons but I fear it is being stripped by my theme. I will contact their support but I already know what their response will be, "we don't support third-party plugins".
In the search to solve the issue, I noticed in my situation that #! is being appended to the URL so a secondary page looks like domain.com/#!/page - this scenario leaves the page with a lonely FB button. If I remove #! from the URL it works perfectly.
So, I dug around and found this line of code in a .js file
if ( window.location.href.search('#!/')
Removing the #! does nothing for the URL itself if clicking through the supported menu, however if I remove the #! from the URL the page is broken. I think AJAX page loading only works with that line of code, BUT, if I can access a page without #! in the URL I'm curious where in the code I can correct.
I use this plugin on ~70 websites and LOVE it.