No. You could use that as justification for anything. At that point, we could just throw due process in the trash and have government thugs going around collect

No. You could use that as justification for anything. At that point, we could just throw due process in the trash and have government thugs going around collecting blood samples from people or doing random house searches because "we might catch a murderer." How far do you go? I'd argue that matching DNA from a rape victim to charge that person with a crime is a violation of due process. The expectation with a rape kit is to find the DNA of the rapist. That expectation and trust was violated. Collect the rapist's DNA and throw the rest in the trash.