Then why do so few Muslim women actually cover their faces?
And if this is such a big part of why people have anti-Muslim views, why is so much anti-Muslim prejudice, discrimination and hate directed towards women who don't cover their faces and men who don't want to force women to do anything?
People have assumptions about Muslims, Muslim men, Muslim women, but I suspect many people's assumptions are quite far from what reality is for many Muslims.
But yet again, the very wide-ranging harms of anti-Muslim prejudice, discrimination and hate are narrowed down to face coverings and men trying to control women. Many people cover their faces. Only a small number of those people cover their faces as part of practising Islam. Men have tried to control women since records began and probably before that, and continue to do so today, across pretty much every society in the world, from the USA to Afghanistan to Japan. Here on Mumsnet, we read hundreds of threads and posts about men controlling women, not doing their fair share, etc. - from people of all backgrounds and faiths. It's a problem with men, not solely with Muslim men. And neither issue is really justification for causing discrimination, psychological and physical harm to people simply because they happen to be Muslim.
When people engage in anti-Muslim prejudice, discrimination and hate towards me, or my husband, or my DC, they don't stop and check our views on face covering or women's rights before they do.