So in 21 days the number of deaths will be 4000, while Belgium with a similar population is at almost 1500 currently.
That sounds rather unlikely given that the population in Belgium is also older than in North Carolina.
21 days ago Belgium was at 4 deaths, two doublings away from 33. They were at 30-40 total deaths 16 days ago, now they are at ~150 daily, total doubling every ~4 days.
so going from 30 to a few thousand in 21 days is what is happening. Can NC avoid that? Maybe, but I wouldn't bet on it personally.
To put things into perspective, in the flu season 2017/18, Germany had 25,100 deaths (source: https://thegermanyeye.com/flu-vaccination-penultimate-wave-w...) while they currently have registered 1,584 deaths due to Corona virus. So yes Germany has probably saved some with the current measures, but should we then close down the society each year to combat the common flu as well ?