i'm a professional DMCA agent.
this means i file DMCA takedown requests (tens of thousands of them) for a living...
DMCA only applies to copyrighted materials. I think the OP is more concerned about Trademark infringement. I think the suggestion to complain to the registrar is a good one.
Looks like it was done already:
Domain servers in listed order:
NS1.SUSPENDED-FOR.SPAM-AND-ABUSE.COM
NS2.SUSPENDED-FOR.SPAM-AND-ABUSE.COM
In theory, yes, DMCA applies only to copyrighted materials, but in the case of site copying / phishing, having a registered trademark can help move things along and the two types of infringement can be referenced in the same take down letter.