Total Fake News.
Dr Fauci himself said that like other coronavirus diseases it's highly highly unlikely to get reinfected.
The anecdotal evidence about people getting reinfected is most likely people who never cleared it from their system (that's another unanswered question, how long it can stay in a person)
& the Herd Immunity is also a real thing that countries have adopted & then abandoned when they realized the cost to human life
This getting waaay off topic, but here are some thoughts on your post.
First, Fauci has said in multiple interviews that what you hear him say in the press conferences is somewhere between the truth and what he needs to say to keep Trump happy. Even if he did say it, I'm not taking his word at face value.
Second, herd immunity is misleading in it's name, and therefore grossly misunderstood. The theory behind it is, if most of a population is immune to a certain disease, the likelihood of a non-immune person coming in contact with a carrier of that disease is greatly reduced, thereby reducing the non-immune person's risk for catching that disease. It's the reason we vaccinate. If 90%+ people are vaccinated and "protected" against getting a disease, say measles, then the other 10% of people have a much lower risk of catching it (ie. protecting "the herd"). The reason it doesn't apply in our current situation is three-fold: a) we don't actually know if having had the disease makes you immune, as illustrated by both the re-infection rate and by the inconsistency in findings of anti-bodies of those previously infected, b) we don't have solid data on the length of contagiousness for this, as illustrated by tests showing viral shedding for weeks after becoming asymptomatic, and c) herd immunity relies on a certain percentage of the population having immunity, which in our current situation is something we cannot be certain of or control with a vaccine.
I said there is no
known immunity, as it is currently only a theory. I also said that given the circumstances, as explained above, this theory is currently irrelevant. That's not to say it's wrong or will never be relevant, but it doesn't apply to anyone right now.