OK right. Let's look at that NY data. If you figure you need 75% to get herd immunity, and we have 20% in NY, we need 3.35x the current number of infections to get herd immunity. Of course there is also overshoot but let's forget about that.
24,708 people have died in NY so far, but we'd need 82775 to die to get herd immunity. That's about 1% of NYC's population. Of course, NYC's population is a lot less since so many people left the city as this was getting started, and it also takes a while for many hospitalized people to lose their fight with this disease, so the 24,708 is an undercount. It also undercounts excess mortality.
Still, if we neglect all of that, you're looking at 3 million Americans dead in order for your strategy to work.
After we sacrifice the 3 million, we don't even know what the immunity will look like. Our experiences with other coronaviruses are not all that promising. People may be reinfected within months.