I haven't had problems with G+ specifically, but I did have to delete my gmail account (which I only created so I could access the android app store) because it

I haven't had problems with G+ specifically, but I did have to delete my gmail account (which I only created so I could access the android app store) because it was impossible to have a gmail address without it being my "primary" address for all things google-related. Facebook at least manages to let me hide the facebook.com address.