The Liberal Republican Party of the United States was an American political party that was organized in May 1872 to oppose the reelection of President Ulysses S. Grant and his Radical Republican supporters in the presidential election of 1872.
"Speak softly and carry a big stick." Is a famous phrase by President Theodore Roosevelt. The big stick ideology or policy is an idea of negotiating peacefully but simultaneously threatens with a big stick in case things go wrong.