Are there any avenues open for avoiding being part of the WAP? i.e. are there any registrars the WAP will not apply to?
Many ccTLD registries have stricter policies when it comes to WHOIS data, and actively audit their contact databases for dubious data, place restrictions on contact updates, or actively review registrations and contact updates to ensure that the contact data provided is valid.
.me, .co, .io, .ac, .sh, and a few others, are relatively easy-going. .us is straightforward enough too, and though there are technically restrictions on who can register .us domains, they're not really enforced all that actively by Neustar. I really like the .me registry: they're good people.
Personally, I don't think it'll happen any time soon. The only successful DNS fork is North Korea's.