I think that the cost of living here with a family will reduce the possibility of saving a substantial amount. Your housing allowance will cover rental of a reasonable villa, but education and activities for the kids will eat into your potential savings. Transport will be an issue - if your wife is working, then you will need a driver service to get the kids to and from school and ferry them around for after-school activities. There is little to no safe public transport here - I wouldn't recommend taxis for the kids or wife, too many scary tales.
You might like to come here for the experience, but don't count on saving a heap of money.
If you can handle the separation, you could come here on your own, pocket the housing allowance and live in a much cheaper apartment etc - then you could probably save money, but at what cost in quality of life?