Good example of unconstitutional here in this great free State of HI is the DOH placard system. A 'health inspector' can enter any food establishment unannounced to "inspect". They have the authority to shut down any food establishment that they see unfit. No trial. No jury. Just rules.
No one is pushing back against this - we just accept it like all other things "for the greater good"
There are safety concerns in many businesses that require a license. Barbershops, beauty salons, restaurants and any other business which can spread disease through unsanitary practices or the failure to follow known standards to avoid contamination & growth of diseases are a public health concern.
Shutting down a restaurant for health code violations is not normally the first thing an inspector does. They usually give the business notice to correct the violations in a given number of days. If the infractions are not corrected, the place can be shut down upon re-inspection. Only if the violations are serious enough will the place be closed. Many sub-par places are allowed to operate, but the restaurant has to display the grade they received from the inspector which can negatively affect business.
I've seen restaurants shut down after an employee was found to be infected with a disease that customers contracted. In that case, preventing more cases of salmonella, e-coli or other food poisoning outweighs the business' right to remain open. That's not normally an "inspection" issue, but it's in the same realm of government power to shut a business down.
I think some restaurants thumb their nose at the food safety rules. They do the minimum to pass the inspection, but then have another failure soon after. Customers rarely get to see what goes on in the store room or kitchen, so we need someone to ensure food safety standards are being followed.
This is one area of government oversight of private business I think has merit for the public at large.