You only have to be DMCA compliant if you're in some way based in the US. Complying with US laws when you're a non-US company is like complying with Australia's laws if you're a Canadian company.
But wasn't there something a while back about how people had to comply with US law if they owned a .com/.net/.org domain, since these were managed in the US?
I think it depends on the definition of "had to comply". If you mean, are legally obliged to, then no. If you mean, don't want to risk their domains be seized by the US, then yes.