Mucking about with a Google + page and your Simple Google Connect plugin, I find it all works great. Excellent plugin even if you still want to call it bèta ;)
Only two requests/suggestions:
I notice is that the Google Page Badge is a bit too ridged even for the Twenty Eleven sidebar. A fixed width with border does not behave well -- I notice that even you use a simple text widget instead on your own site -- so I hope you are considering some more customisation for the badge widget.
Do you have any plans for implementation of auto-posting to Google + ? I read on the net that it's not possible but http://wordpress.org/extend/plugins/social-networks-auto-poster-facebook-twitter-g/ seems to be able to. Have not tested that one though, as it's not a crucial feature... Still, it would be nice :)
In any case, thanks for another GRRREAT plugin!