You can have a multiuser system but that doesn't solve this particular issue. If they log in to what you claim to be your primary account and see browser history that shows you went to msn.com 3 months ago, they aren't going to believe it's the primary account.

My browser history is cleared every time I close it.

It's actually annoying because every site wants to "remember" the browser information, and so I end up with hundreds of browsers "logged in". Or maybe my account was hacked and that's why there's hundreds of browsers logged in.