How do I remove all social integration features with Google+/Google applications
No, not easily. one of the side-effects of using Google services, is that all the Google services link together in the back-ground. This can be incredibly useful in some cases (if I Google for a bar's address on my desktop PC, my phone will later offer me directions and estimated travel time to that bar on a Google Now card). Some can be spooky.

Having said that there are ways around this, the easiest is that just because you have an Android phone, doesn't mean you're limited to using Google's services, one of the strengths of Android is all the choices you have:


You could get your apps from Amazon's App Store, instead of the Play Store
You could sync your mail, contacts and calendar with an IMAP server, instead of GMail, or you could install Yahoo's apps or Microsoft's apps and use those instead.


Or alternatively you could create a second Google account, add it to your phone and use that account for the apps/services that you'd rather keep separate from the apps/services that you use "as you". Have a look through the google-account tag for some hints on how to set up another account and swap apps from using one account to another.