If you go to the doctor the first thing they do this time of year is a flu test, I am not saying test every single person in the USA....but you need to test every single person at nursing homes, hospitals etc, if someone has a cough or fever test them....and isolate as many positives as you can. Then test everyone in their families and you start trying to get as many carriers out of the public as you can, this will greatly slow the rate of spread....that's why these countries are locking down areas....its works because the virus cant spread as easily.
The part I bolded is short sighted....you think people will panic if we test and see a lot of cases, that sounds like Trump, what do you think they will do when everyone is sick, hospitals are overloaded and dozens are dying everyday, do you think folks will panic more or less then? Not testing means more cases period, the more you can test and isolate cases the better it is for the country.