That's because the people live in a organised state. One of the absolutely most important pillars a society stands on is that justice and law can only be done by a branch of said society. If citizens stepped out of line and other citizens dispensed justice and law there would be chaos.

This certainly have problems. The root of them usually are when justice, laws and the executing branch behind them is or are perceived to be unaligned with large groups in that society.
Basically people are protesting that they think the society ain't doing what they want and they protest in a way that are not permitted in said society because...many reasons. It's a bit hard to explain and I hope you get my meaning.

But they are still welcomed by the state and every other opinion is still suppressed, that's the clue!
It's about testing boundaries and not finding any.

In Sweden we had a health care organisation dedicated to both men and women having trouble with their partners and similar things. A place where they could get help.
Now we have shut down the one for men so if they get abused by women they have to seek help in the branch organised for women because apparently only men can beat women and not the other way around.
Imagine a man abused by his female partner having a group therapy session in a place designed to help women being abused by men all by himself where every other participant is a woman that have been beaten by a man. Yeah that's jolly...

Well then German women should get used to harassment/rape - flashmobs on concerts/big events I guess. Having glanced over several reports on those it seems that stuff started around late 2011 in Egypt. But since major feminists say, it is the male gender as a whole and not a cultural thing these flash-mobs are nothing new here in Germany. I do not know what all this fuss is all about. [Sarcasm off]

Yet at the same time the rape epidemic by migrants in the last years in Sweden is constantly swept under the rug.
A friend of my former martial arts trainer moved to Sweden and created a family there. They were living in an area full of immigrants and most where from the middle east of course but never had problems with them. When one of the daughters was 14 and was already followed home many times it started with their 12 year old daughter too and they had to move into a region with less migrants just to prevent the rapings of their daughters that would have already occured if they wouldn't have been so fast. This was already some years ago and I can imagine how mean it has become by now since this is officially not happening.
Honestly, in spite of all the misandry I'm constantly encountering, currently I'd not like to be a European woman.

It's like the biggest enemies of neo-feminists are women and they want more rapes to happen. It blows my mind.
Maybe it's like with firestarting firefighters. Creating a rape-culture in order to say "See, we were right, there is a rape-culture!". Yeah... thanks for importing it. :(
I always wanted to have children and a daughter would be nice, now I'm not so sure anymore if I could keep her safe.

I'm one of those with the opposite experiences. I have never heard first hand or even second hand about immigrants doing sex offenses.
I know where you live and the people you work and spend your free time with have to do with this. Though I am working class and have a lot of work mates, neighbours and meet a lot of people that are immigrants.
But and it is a big but I have never lived near or in a place that's predominantly immigrant. There might be a "critical mass" for these things to occur. That I wouldn't know.
Moral of the story might just be "Don't create ghettos".

I wish that was the case for us. Ever heard of the CSA in the UK? Read up on that. A child support agency that is more then happy to bankrupt single fathers so the single mums can get all the money they need. But they are very hush hush when a single dad applies to get help. I have a friend who is on the sex offenders register list because a one night stand decided a week after they had sex that she was raped. Despite the fact she pulled him. Go figure.

It seems it's not that skewered in that regard over here then.
It's still a mans world in the courts here where it's sometimes hard to get a rape conviction against a man. I'd like to think it's because rape is one of those crimes where it can be hard to get evidence and the courts rather free than convict. But I honestly don't know having no experience myself with this.

Tell you one thing, my sons are being brought up to be weary of women that is for sure. Equality my ass!

Explains your Avatar. :P

I don't really sympathize with German women

because of this reason

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They gleefully hold signs thinking that refugees will bring exotic, sexy men and ignore or friendzone native men. And when refugees do come and do their stuff these same sign holding women cry rape.

A "No" always trump a "Yes".

Fine by me, but I sincerely hope that if you're doing that you're bringing up any daughters you may have to be wary of men as well. Just as you point out that men can be screwed over by women, the opposite is obviously still true as well.

For those who missed the live video of the PEGIDA march in Köln today here's how it went:

PEGIDA protesters marched quietly, got halted at some point. A few firecrackers were thrown at the policemen then the protesters got "watered" and pushed back by the police forces up to the train station where they held some speeches then left quietly. Overall, that was quite a "peaceful" march with maybe too much police forces in regard to the weak number of protesters (pic attached is the widest angle). In comparison, protests in Belgium are way more violent than that....

Conclusion: Pegida played its cards right and seemed rather inoffensive in front of the "state", I wouldn't be surprised if they have gained some more sympathy from Germans today.

Not really, the press here is still stating they were violent and had to be detained and that's what mass media has been saying about them from the start, which led to the point where mostly (not only though) the nationalists seemed to have stayed in this group. I've got no idea about the AfD-Demos though and it's impossible to get any objective information about this from the German press, there's always a pre-arranged narrative in one direction or the other.