Greece's structures were so feeble that with or withour the Euro, a crash was inevitable. No registry for landowners, almost no taxation on ship owners (their most important industty), no taxation on the Church (biggest landowner), no taxation system worthy of the 20th century, a bureaucracy run on clietelism and nepotism, with many unqualified in higher positions, Fakelaki, abuse of the social welfare system (an island of blind people), rampant tax evasion of the wealthy.
The last part was especially bad. There was officially almost no one in Athens who earned more than 10k€. You know what became the biggest weapon of the newly formed taxation bureau? Google Maps. They just looked whoever had a swimming pool or Yacht in his backyard and send an agent to check on, suddenly catching a lot of them.
Having a fuctioning state has nothing to do woth Neoliberalism.
Being in the Euro at least assured that the government had to implement reforms, instead of just ignoring it.