I have a situation very much like the one at ImportError: DLL load failed: %1 is not a valid Win32 application, but the answer there isn\'t working for me.
My Python
I faced the same issue when I uninstalled and reinstalled a different version of 2.7.x of Python on my system using a 32 bit Windows Installer. I got the same error on most of my import statements. I uninstalled the newly installed Python and downloaded a 64 bit Windows installer and reinstalled Python again and it worked. Hope this helps you.