In my own opinion i do not think you need to force christians to participate in politics if it's against their will because they have their own beliefs and principles. Politics involves corruption and i know that they are real evil especially when they hold such power to control everything. They're liars.
That's why i understood why christians don't want to support such system.
As a Christian myself, I don't think that being in this religious group is a reason for not voting and such. Christians believes in mercy, salvation, and forgiveness as such we don't want to judge others for any reason that you might think of.
Christianity or any other religion will never be a reason for any individual to stop from participating in this government changing activities, it is their own personality themselves.