This is you, being reactionary gay, taking it to an extreme again.
It's no different than a person with Herpes, or HPV, or some other permanent social disease. You man up and tell your potential partner about it and allow them to decide for themselves. It has nothing to do with being on a list, or a badge.
In fact, the reason anyone in society would even suggest creating a list or a badge for people with a HIV positive status is because so many people who are knowing HIV positive won't do the right thing and admit it to a person before engaging in activities that could very well spread the disease.
You are advocating the exact actions that would lead to a nightmare scenario you fear.