You don't see cockney anything anywhere there anymore compared to (and as much as you see any transitional regional identify left in) other British cities.
Homicide is on the drop in London but that's not 100% because it's safer. A huge amount is focused on deaths rather than attacks so don't fool yourself that just because they didn't die that nothing happened.
> crime which is a non-issue in the UK.
Nope. Not even close to true. Yes we don't have school shooters. Yes we don't have people exacting "justice" with a loaded barrel. But we do have gun crime and guns are used a LOT as intimidation. I wish I didn't grow up in an area where I know that to be true.
Trying to pretend there's not a problem is wonderful. And in that case I can point you to some very reasonably priced areas which must be perfectly safe and have no social cohesion issues at all regardless of where you're from...