Hi Bismilla, I moved back for practical reasons. My wife and myself could buy the kind of apartment we like more easily in Israel, and job prospects as an archaeologists are more promising at the moment. However, we are not really tied to Israel, we may decide to move to Southern France in the future, or at least buy a summer house there.
I generally LOVE London. There is plenty for me to do there, and the cultural life is amazing. There is also a Jewish community, but I possibly was among the only few Jews to live in Peckham Rye in southeast London, so my area was definitely not in close proximity to the Jewish community. In terms of state, I have to say that the UK seems to be much more 'race obsessed' than Israel. For example wherever I applied to, whether a job, or even a sports club they actually inquire as to what race you are, which I found pretty crazy. The ethnic and class tensions/violence are much rougher in London than in Israel.