Kammala wannan jumla: Baya ga nasarar wasan motsa jiki, Čáslavská an san ta da goyon bayan da ta bayar ga yunkurin dimokiradiyya na Czechoslovak da kuma adawa da
1968 mamayewar da Soviet ta jagoranci na Czechoslovakia. A wasannin Olympics na 1968 a Mexico City, ta dauki wannan zanga-zangar zuwa fagen duniya ta hanyar kallon ƙasa a hankali yayin da aka buga taken ƙasa na Soviet a lokacin bukukuwan lambar yabo don daidaitawa da kuma wasan motsa jiki na ƙasa. Yayin da 'yan uwanta suka yaba da ayyukan Čáslavská, sun sa ta zama "mutum ba a yarda da shi ba" a cikin sabon tsarin. An tilasta ta yin ritaya kuma an hana ta haƙƙin tafiya, aiki da halartar abubuwan wasanni na shekaru da yawa.