You may be able to use tracert to determine the hosting company. If that works you can deal with the host.

The host is not problem but legally is more effective to locate the person who owns the domain.

The host knows who is operating the domain.

...they have no customer-standard 'Contact Us' information on their site?

They just put a phone who doesn't answer, a chat always offline, no phisical address. Unfortunatelly the host is not always cooperating in giving out information about their costumers.

You should be able to do a reverse lookup on the phone number.

The registrar refuses to give out any information about the person, because he/she choosen to be anonimous...
Phone number is a scam too. Is a digital line ip phone, not attached to any phisical address.
They also copied most of content and changed it a little bit.

They use parking domain to point they main domain ie examle.cl is the same than example.com when you type it in browser.

They also copied most of content and changed it a little bit.

So long as you can document this adequately, then you can DMCA Google and/or the host. A DMCA with the host should get pretty quick action.

Its really problematic. You must go for a legal advice regarding this.