I don't often post on here but I do read the postings and feel this is one I want to comment on.
As an animal lover maybe Turkey is the place for you. Unlike the strays in England, the street dogs here are looked after, treated by vets and generally looked after by an entire commumity. You would be impressed.
I understand your desire to protect your children, but for you to say you do not want to subject them to Turkish culture is a shame. My grandsons, who I have always thought of as polite because of the way they have been raised (yes I am biased), came out to visit and were spellbound. The Turkish people treated them with respect and were delighted to get the same back. They were encouraged to learn basic turkish words and even now back in England when they talk to me on skype they are still practising. They are only aged 4 and 6 but loved every minute of being here and are eager to return. Family values in Turkey seem to me to be a much higher priority than England (appologies to all who don't agree with me) and I do believe you would have a good family holiday here.
You don't say how old your children are, but as much as you want to protect them, they should also be allowed to experience different cultures and decide for themselves how they feel.