A Woman in a Burqa
Let me ask you another question: If you see a nun in your town wearing a nun's habit, do you feel invaded? If you see a Tibetan Buddhist monk in your town wearing monk robes, do you feel invaded? If not, then "narrow-minded bigot" and "intolerant racist" must miss the mark. Something else is causing you to feel invaded when you see a woman in a burqa.
A burqa is a visible sign indicating that the wearer is following a particular ideology. If we see a Catholic nun in a Catholic nun habit, we can guess with a high degree of certainty what ideology she follows. If we see a Tibetan monk with a shaved head and a saffron robe, we can guess with a high degree of certainty what ideology he is following. If we see a man who has shaved his head and has a swastika tattooed on his neck, we can guess with a high degree of certainty what ideology he follows.
Back to the woman in a burqa. Why are you bothered by seeing a woman in a burqa walking down your local street, but many of your fellow citizens are not the slightest bit bothered by it? Some of your fellow citizens would be much more bothered by the fact that you feel invaded. Why? Because they don't know much about Islamic doctrine. They believe Islam is just like any other religion. They may see the woman in a burqa as a wonderful manifestation of multiculturalism. You see it as an invasion. The only difference is how much you each know about Islam.
If you know someone who is not bothered by a woman in a burqa, talk to them about Islamic doctrine. Do it gently. Think small bits and long campaigns. Use Inquiry Into Islam to help you. It may take awhile for the reality to sink in, but when it does, we are in a better position to marginalize, discredit, and disempower orthodox Islam. The fewer non-Muslims unacquainted with Islam the better off we'll be.