So, to get back to the point. We can't just throw up our hands and say 'so long as we have male immigrants from countries with unbearable sexual politics, we'll be importing those unbearable sexual politics, so ban them all - because that isn't going to happen, and I think most of us feel that would be wrong and unfair on a lot of non-revolting men in dire need.
What we do need to do I think is (and this is just off the top of my head):
Here (in Europe):
Demand much much much much better policing of sexual harassment (and street violence generally). Intelligence based so police can detect any patterns of behaviour, in any groups. Women absolutely must feel confident to come forward.
Make it clear that you don't 'get away with' this kind of thing in Europe, it is not tolerated, it won't be disregarded either because you are from a vulnerable group - or, equally, because you aren't.
Work to understand what was going on, and whether housing and work would lessen the opportunities or inclination for this aggressive behaviour, and whether it would save more in policing costs than it would cost to establish.
What we need to do as women, is to work with our sisters Europe-wide and internationally to develop, establish and strengthen our rights as women, and to work for the social equalities that benefit everyone, not just women and girls.
When I was very young I considered myself part of an international women's movement. Other political passions took over, but its almost like the blood coming back to a foot you've sat on so long it went numb.
Someone upthread suggested that it took us 200 years to win our rights in Europe so its going to take women in these other countries as long. But I don't think that's the case. There are powerful feminists writers and thinkers all over the world, and they have access to the internet, so we ought to be able to work together. There is still an international women's movement we can all become more active in, surely? (even if I've not paid it a lot of heed lately 
)
One thing I think we can do internationally is to keep on keeping on about specifically feminist aspects of human rights when our government or corporations are cosying up to overseas governments and corporations where some of the most egregious abuses are not being tackled. Just drip drip drip to make it unacceptable for donors/trade partners/etc to ignore.
Why would we not want to challenge - actively - the awful treatment of women in Egypt such as we have seen in those horrifying videos. I don't know what specifically we can do to support and help women elsewhere, but surely its right to help if we can. And anyway, the more and more people move about (and it is, of course, going to be more and more) the more their problems are our problems. The abuse meted out to , say, Moroccan women, more and more becomes the abuse meted out to us.
In turn of course people (men and women) are suffering horribly because of what our governments are doing. We should listen to these issues too and help where we can. Because its the right thing to do. Because the worse their problems, generally, the worse our problems. (And also because it distinguishes us helpfully from the bigots and racists, which is sometimes helpful)