Joining. I live in Germany. My thoughts: Whether this atrocity was committed by refugees or not, the German authorities are pretty clear: It doesn't matter where you come from, you'll be treated the same under German law. They are also urging people NOT to jump to anti-refugee feeling.
Only read the first/last 100 posts so some points from page 1 which might have already been answered:
Cover and ceiling are the same word in German so "below ceiling" is likely to mean cover-up, yes. And I think this was due to confusion and miscommunication leading to what looked like a cover up, but it wasn't. It's just that not all of the information was brought together until later.
Totally normal in Germany on New Year's Eve for people to be launching fireworks from their bare hands towards buildings and across the street. They were doing it in our street, and barely stopped for the tram to pass through the middle of them! There seems to be no firework safety code here at all.
Also, it is being reported now that the number of 1000 is a huge overestimate, and the real number is thought to be around 400. Still horrible, and definitely capable of causing some real distress and damage, but not as dramatic as first feared. The local services are responding by increasing security staff at prime locations and there are talks of installing better security cameras. And, yes, women have been advised to avoid the area, but this is in line with advice after the Munich threat - people were advised to avoid crowds and large transport hubs if possible.