Peta calls itself a nonpartisan organization. From PETA's FAQs:
"PETA is nonpartisan. As a 501(c)(3) nonprofit, educational organization, IRS regulations prohibit us from endorsing a particular candidate or party. We do, however, work with legislators of all party affiliations and recognize the accomplishments of politicians who have helped pass laws protecting animals, regardless of their party."
The political party that Tammany Hall supported was the Democratic party.
Alliance party
The political party that Tammany Hall supported was the Democratic party.
conservative
National Federation Party.
powerbase
Democrat
Republicans.
Federalist
A person who does not express support or involvement with a political party is known as an independent.
The Republican Party.
The person could be termed as being non-political. Or politically impartial. Or even sensible!