This was an international case. The Bill of Rights of the United States of America does not apply. To impose the BoR on a non party would be a violation of their human rights, guaranteed by the Universal Declaration of Human Rights.
The US Constitution's Bill of Rights DO NOT IMPOSE ANYTHING ON PEOPLE. They are expressly written to IMPOSE ON THE GOVERNMENT. They DO NOT CONFER RIGHTS. They state certain unalienable rights of men, and RESTRICT WHAT CAN BE PASSED AS LAWS in relation to those rights. Or, they're supposed to, anyway. I don't blame you for getting it wrong. Most of the citizens of the US miss this as well. They're not a bargaining chip for "more rights." They were supposed to set hard limits against government abuse. Oh well. The NSA has made a laughingstock of the 4th Amendment in particular, and that's just an easy example.
The court was in Las Vegas, and Microsoft, No-IP and the company that was ordered to redirect the domains are all based in the US. In what sense is this an international case?
The documents were served to no-ip in Nevada, but the other parties were in an arabic-speaking country. The case was filed in multiple jurisdictions if you read the court documents. I invite you to read noticeoflawsuit.com and see what actually happened.