No, the law has changed and every Cardassian "is" a Cardassian, regardless of their views and beliefs.
At some it's also going to be explained how their juridical system was reformed and how it works now.
In a Cardassian library
or in a Cardassian gallery
"Reagan, it appears, is really only an ardent unionist if the unions in question are in Poland" - Stephen King, Skeleton Crew