The PCO supports implementation of
socialism, following the
Trotskyist branch, which they regard as the true form of
Marxism. According to them, the Marxist movement was corrupted by
Stalinism and later by social movements such as bourgeois
feminism and the
LGBT movement, which they term as "identitarian". The party rejects
woke culture, arguing that it is "not progressive at all" and constitutes "an attempt to transform chaos into an instrument of political struggle". However, the PCO also considers the
police as an oppressive force and favors the formation of a "popular police". While opposing the
PT due to that party's controversial alliances in the political and business sectors, the PCO interprets the PT's government as a necessary step in the current Brazilian political context, in order to strengthen workers' organizations. The party also sees the
impeachment of Dilma Rousseff of 2016 as a ''
coup d'état'' and were also against
Lula's prison sentence in 2018, protesting for his liberty afterwards. During the
COVID-19 pandemic, the PCO supported vaccination efforts while opposing
mandatory vaccination. The PCO is a staunch supporter of unrestricted
free speech, asserting that the people should always be entitled to express their views and opinions, no matter how controversial, offensive or misleading they might be, and that any attempt of
censorship will eventually result in the bourgeoisie controlling the public opinion. The party is unique in the Brazilian left in its opposition to anti-
fake news legislation and the criminalizing of
homophobia. The party also denounced criminalization
transphobic speech as attack on
freedom of religion, stating: "A citizen can no longer profess their religion if they believe that "transsexuals" and homosexuals are, in their view, an anomaly and contrary to God's law. The overwhelming majority of religions—if not all—share this understanding." The party defends a progressive function of religion, stating: "Marxists, who aren't religious, never said we should force people to abandon their religion. That's absurd! Why would someone do that? They believe in God, they've had their little church since childhood, they were born there... If you're active in the labor movement, you'll never go to workers and raise issues with their religion." It also defended Islam, stating: "Islam is not a repressive religion. Generally speaking, it is even more progressive than Christianity. Christianity is the religion of imperialist countries. Islam is the religion of countries oppressed by imperialism." The PCO supports Palestine in the
Gaza war, Venezuela in the
Essequibo dispute and Russia in the
Russo-Ukrainian War. ==Electoral history==