Carvath stood as an Independent candidate in the Salford and Eccles constituency during the 2010 UK General Election, garnering 384 votes, 0.9% of the final result. His campaign was highly controversial, with him being referred to as 'possibly the most bigoted candidate in Britain' by Sunny Hundal due to his comments on homosexuality. He was reported to the police over comments he made about rival candidate Matthew Sephton in a blog post which were deemed to be homophobic.
Carvath is a strong opponent of prostitution and has engaged in activism against many illegal Manchester brothels and pimps, the most notable target being the Sandy's Superstars brothels and their owners, Adrian Burch and Sandra Hankin. Carvath regularly filmed clients leaving the Sandy's brothels as part of a campaign called 'Brothel Watch'. He published two dossiers related to the method in which Greater Manchester Police handled the issue of illegal brothels within the city, with him referring to the force as 'institutionally corrupt'. However, the brothels in question were eventually raided by GMP in 2016, with Burch and Hankin currently facing criminal charges.
Carvath has campaigned for free speech rights, one example being Mike Overd, a Taunton street preacher who faced criminal charges due to statements he made on Homosexuality and Islam whilst preaching. He also stood against the prosecution of a Jewish woman, Linda Jones, who was found guilty of a hate crime against two young Muslim men in 2015.