Ones I like after going on a Thesaurus and US Declaration of Independence wiki hole. The ones further below are just ones I thought were okay as they came to me.

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People’s Voice Party

American Party

Workers Party

Freedom Party

Citizens Party

Peoples Party

Revolutionary Party

Common Party

United Party

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Workers Party

Blue Collar Party

Trades Party

Skilled Party

Collar Party

Rust Party

American Party

Freedom Party

Citizen’s Party

Liberty Party

People’s Party

Civil Party

Center Party

Working Party

99 Party

99% Party

Luigi Party

Rights Party

Blue Party

United Party

Sovereign Party

Human Party

Marching Party

US Party

Founding Party

Founders Party

National Party

Revolutionary Party

Colonial Party

Fundamental Party

Common Sense Party

People’s Choice Party

People’s Voice Party

Laws of Nature Party

Nature Party

Equal Party

Pursuit of Happiness Party

Standing Party

Family Party

Native Party

Great Party

Fighting Party