There's a fine line.
In the US, we've usually had reasonable parties in power, so it really didn't matter what your politics were.
Now... Not so much; and it goes both ways, too. There are loonies on both sides of the aisle.
I've always seen CoCs as needed for situations where a conference has a transgender person and a "poorly socialized conservative." Or a Christian proudly wearing a cross and a "poorly socialized liberal." Situations are even simpler; it could be a conference with a female speaker and a man who still believes in strict gender roles.
Unfortunately, the above situations come down to "political belief."