Culture war? Not yet, but we may get there eventually. Extremists from both sides wouls sure love one (mind you that is all my personal opinion and you have to take into consideration that Greece may be a Western European country but not quite

)
It depends on who you are talking about.
For instance, most Western European countries -using this term loosely- (and a big part of the population) fear a muslim terrorist attack. Greece and Greeks don't
I think the main fear is that, since the Muslim refugees do not assimilate at all, their countries character will eventually be altered.For instance, quite a few women I talk with, fear a 'backsliding' in women's rights.
A Pakistani woman living in the UK told me that, just because - she is a teacher- she told them not to hit their children and that (since they refuse to believe that it is wrong) if they do they may get in trouble with the law, they called her a cocconut (sp?) meaning that she may have dark skin but she has turned white inside.
Why am I mentioning that? Because I think that up to a point there IS cause for anxiety.
I don't think most agree with conformity laws. That's a disgusting measure. Something must be done though, as most believe, before we end up with "countries" within countries.
The main problem is that we don't try to understand them. See, WHY they are so adamant about not changing a bit. (and if you ask me, personally, if I think that someone
should behave like Romans when in Rome, my answer is yes, not changing completely but when in Rome you have to respect Roman law and custom)
I don't know how one living somewhere where they have problems with Muslims would reply (a friend living in Munich is certainly more anti-Muslim than I am)
In a nutshell there is more anxiety, more worrying than fear for the moment, and the Media are a lot to blame. Europeans are a bit too cocky if you ask me about their civilisation and have not gotten over the habbit of trying to force their ideals down other's throats.
On the other hand, respect has to work both ways
that concludes incoherent post number 2
