You do not need to be an expert in doctrine or theology to make a good argument for why a society and Government should support equal marriage laws and women being in control of their reproductive systems. Likewise, you do not need to be an expert in doctrine or theology to look at the full history of the burqa and what it does socially and physically to a women's face and at least make an argument for why it has no place in a civil society.
When people advocate for secular societies or secular ran governments it's so that NO religion gets favouritism or to unfairly reign over the others. Not necessarily to eradicate religion, as that is never going to happen and is an edgy atheist stage if anything. If it were Christianity or Catholicism that produced the influx of women all covering their faces we would be in exactly the same debate here, but as I mentioned earlier it's due to Islam growing in popularity in the EU/West, we're facing a rise of burqas. It's an issue almost unique to interpretations of Islam, whereas something like homosexuality is routinely blasted by all of the big religions. We created laws to "bring along" followers of Christianity/Catholicism though. Whenever someone feels like their chosen religion is under scrutiny/being challenged, just remember that has happened to all religions at different points and will continue to.
I understand emotions run high in a topic like this, especially if you are religious yourself and feel like people are attacking your religion. All I can really say there though, is, does anyone who is a follower of Islam in here really want full face coverings to be a part of their religion? Plenty of Muslims do not subscribe to this barbaric way of treating women, and for good reason. You WILL be asked questions in most pro-feminist societies as to why and how you could support full-face veils and that is something you should expect to be asked.
If you ask some Christians in America (or anywhere in the world) if gay marriage should be legal they can probably give you pages of answers as to why the answer is no. It's not always people are ignoring opinions and experiences, simply, they may disagree.