Shutting down is not the better alternative because you still are breaking the law, as siblings explained.
Working into getting compliant and have a paper trail to demonstrate how you are progressing in case of control is the only realistic way to do it. That's exactly what a lawyer (in my country of course, perhaps not applicable to other countries) advised me to do. And this lawyer works closely with the public institution doing the enforcing in my country.
From my understanding, I'd be surprised if even 1% of companies were fully compliant today. Yeah, even big ones like Google (I actually spotted something I'm almost certain is non-compliant yesterday on their TestMySite service).
Don't be mistaken, the mails everyone receive about changes of terms for the GDPR and validating consent to receive newsletter are just the tip of the iceberg, they are the easy cosmetic changes.