> diplomatic immunity extended to their children MUST be abolished

While it's easy to say that as a knee-jerk reaction, you have to realize that families of diplomats have to have diplomatic immunity. The whole point of diplomatic immunity is so that people can conduct diplomatic duties freely and safely, even during periods of political tension and armed conflict. If that doesn't apply to families, then it becomes simple to manipulate diplomats via their families.

The actual mechanism you want is that foreign officials home countries have the ability to waive immunity in the case of a serious crimes unrelated to their diplomatic role. This is the mechanism that needs to be employed more often, particularly in cases like this.