Should you leave RSA? Yes, IMO. Will life be heaven forever in NZ? Chances are 50/50 that you will settle well here. Good enough to take then I reckon. But of course nowhere is "heaven forever" and the daily grind of working hard, paying your taxes, your bills, and sorting out personal problems will exist here too.
Whatever you do, remember and accept that NZ is just another country full of problems and that "no crime" is certainly not true about the place. Be aware of the fact that NZ is not an island paradise. Yes, it's safer than RSA and corruption's less but it's remote, expensive, very often cold and wet, has its fair share of crime (rape, child abuse, domestic violence and drugs in particular) and lots of social problems (teenage suicide is very, very high, binge drinking amongst teenagers and youth, high rate of teenage pregnancies, gangs = costly and big problem and bullying - in schools and the work place) and it can be very underdeveloped in many parts.
There are much better places to immigrate to IMO but if NZ's where your skills are acknowledged and if perhaps you already have family in NZ - you should go. Chances are it will always and for the most part do better than 99% of African countries. (Sigh

... It's so depressing. Considering the wealth of natural resources that many African countries have it's such a crying shame ...).