Rubuta ci gaba don wannan sakin layi - Kosor ya ci gaba a matsayin mai zaman kansa, mai sassaucin ra'ayi, dan siyasa kuma daga karshe ya kafa kungiyar wakilai tare da 'yan majalisar wakilai biyu na Jam'iyyar Civic Croatian. Kosor ya kada kuri'ar amincewa da gabatar da batun kuri'ar raba gardama ta shekarar 2013 kan haramta auren jinsi daya
a gaban Kotun Tsarin Mulki, kuma a kan canjin Tsarin Mulki da aka gabatar wanda ya wakilci canji daga matsayinta na baya game da luwadi da auren jinsi ɗaya tunda an san ta da adawa da fadada haƙƙin LGBT. Ta kuma zabi Dokar Abokan Rayuwa wanda ya baiwa ma'aurata masu jinsi daya a Croatia hakkoki daidai da ma'aurata masu jima'i. Bayan karɓar barazanar kisa a cikin 2015, an ba Kosor kariya ta 'yan sanda. Bayan hasashe cewa tana iya zama 'yar takarar SDP, Kosor daga karshe ta yanke shawarar shiga zaben majalisar dokoki na 2015 a matsayin dan takarar hadin gwiwar masu sassaucin ra'ayi na Croatia a mazabar zabe ta 5. Ba a zaɓe ta a majalisar ba. Ta ci gaba da sukar Tomislav Karamarko da Kolinda Grabar-Kitarović da kuma jam'iyyar Bridge of Independent Lists saboda rashin yanke shawara. A watan Fabrairun 2016, ta yi kira ga Firayim Minista Tihomir Orešković da ya cire Zlatko Hasanbegović daga mukamin Ministan Al'adu bayan da aka buga hoton sa sanye da hular Ustaše. A watan Agusta 2016, Kosor ya bayyana cewa ihu Za dom spremni "abin zagi ne ga tsofaffin mayakan yaki da abokansu waɗanda suka ba da ransu don dimokiradiyya, mai zaman kanta, da 'yanci Croatia".