Of course, it really depends on the details. We already have all sorts of public health policies, like immunizations and check for certain diseases.
If this is a program that will provide early identification of postpartum depression and psychosis or children at risk of major mental illness, like depression, psychosis, etc., then I think it is a good thing. However, how are they going to pay for it?
Required immunizations in certain circumstances I can understand because of the potential for the spread of diseases within the general public. The problem with this law is that it goes against past Supreme Court decisions that have ruled the parents are responsible for their kids health, education, and welfare. That is unless a court deems the parents unfit.