https://www.thelancet.com/journals/laninf/article/PIIS1473-3...
I would be surprised if, after this current wave of infections, the percentage of people with antibodies in the US is higher than the low single digits.
Herd immunity without a vaccine is a pipe dream. Our best bet is to massively ramp up testing and contact tracing and really start pushing the number of infections down to a point where parts of society can start functioning again.