It sound like good ideas Perhaps I can move this thread to "Easysocial - Feature request" category so if everyone also request this, we will definitely implement this in the future version.

Come back to your question, unfortunately currently that was not possible to show the Facebook and Twitter login button on Easyblog and Easydiscuss login pop up.

However, I have an ideas for this :
Perhaps you can try use docker app and see is it meet your current requirement?
You can refer on this demo site -> http://easysocial.stackideas.com/
Then disable all those login icon from Easyblog and Easydiscuss toolbar setting, so all the user will only looking on the docker bar login.

Moving this thread to a Feature Request category does make sense. Interestingly the request would overlap some with EasyBlog and EasyDiscuss because it is about building a uniform toolbar for all of them. :-)

I was not aware of Docker App so I will take a look at it. I guess that we would need to have the Docker App on every page and also have the EasyBlog and EasyDiscuss and EasySocial toolbars also on their respective pages?

Yes, the latest version of Docker app can allow to show all the page on your website or you can set specific menu item which you would like to show that Docker on your page.

And those toolbar remain the same but you have to disable that login button from backend setting, so your site user can focus on the docker for login and logout purpose.

If my site was ONLY EasySocial then the Docker would be a slam dunk easy decision. But, I am afraid if I use the Docker, plus keep the toolbars, plus have the search field at the top of every page I may be creating a bit of clutter and confusion. I am assuming I can place the Docker in any position?

Yes, you can set to show docker at top or bottom position on the page.