Hence my point about their reaction in January and February. I agree their early response was quite poor. However their response at the end of January was strong and a large reason why they are recovering right now. 3 months is also being a bit disingenuous, as the first case is likely traced back to November 17, and the Government mandated lock down was January 23, which is a bit over two months. The USA also has the chance to see how effective a heavy handed lock down will be, so hopefully they can apply larger restrictions before 2 months. China took about 2 months to recover after the heavy restrictions, and even Wuhan is recovering quite well, it's not about being "out of it", but getting to a manageable state where you can look into softening measure to open the country back up again.
In regards to testing, of course you won't be testing the whole population...that's not a feasible task. The goal should be to test at risk individuals, people with symptoms, travellers, and those who were at risk of contraction due to close contact. if you are not one of those people, you should be doing your job and attempting to quarantine yourself, avoiding bars and social gatherings.
General point I was trying to make was that China's response to the latter half of their situation was quite successful, and not a model that any country with a high infection rate should look away from.