In 1911, La Crónica established a "fraternal order", the Orden Caballeros de Honor to "discuss the troubling social issues at the time". and held the First Mexican Congress—the Primer Congreso Mexicano—dedicated to fighting inequality and racism, and to unite Mexicans on issues that affected them, including lack of access to adequate education and economic resources. While working at La Crónica, Idar also served as the first president of La Liga Femenil Mexicanista, the League of Mexican Women, an "offshoot" of the Congress that was founded in October 1911 in Laredo to offer free education to Mexican children. In her 2018 book based on her PhD dissertation, Redeeming La Raza: Transborder Modernity, Race, Respectability, and Rights, Gabriela González wrote that these organizations were established in response to the poverty and racism experienced by transborder Mexican communities.
While working at La Crónica, Idar also served as the first president of the League of Mexican Women (La Liga Femenil Mexicanista), an organization founded in October 1911 in Laredo to offer free education to Mexican children. Additional goals of the organization were to "unify the Mexican intellectuals of Texas around the issues of protection of civil rights, bilingual education, the lynching of Mexicans, labor organizing and women's concerns." The women within this league worked to transform these injustices into a plan of action and focused on relieving social problems through actively making changes within their communities. Women who participated in this organization were highly influential. "Some league members were trained educators and professionals, and the education of youth remained the organization's primary focus." It developed into a social, political and charitable organization for women that, in part, provided food and clothes to those in need.