Let me say, as an instructor, you should definitely be having this conversation with your family members.
What you are likely to do and the actions you take very much have an impact on those around you. Your family's actions, likewise, have a bearing on your actions. I am not necessarily talking about your extended family, but definitely those that are around you the most and with whom you live your daily life.
If something is to happen in a restaurant, shopping center, parking lot, or even your home, your actions are but one small part of the equation. You need to have a discussion witn your spouse and children that are old enough so that they know what to do when the chips are down.
Mine goes something like this, for example.
"If we find ourselves confronted in a parking lot, I want you (my spouse) to separate yourself and the children from me in a safe direction. Preferably towards our vehicle and if not, back towards the store. I will be addressing the threat and therefore need you to take care of the kids. Get them away from me so that they are not the recipients of aggression. While you are moving them to a safe direction I will be addressing the threat, attempting to move in another direction. Your gun (my wife carries as well) is solely for the defense of you and the kids. I do not want or need your assistance."
We have a very good plan outlined if we are confronted not only in a parking lot, but in a restaurant, grocery store, shopping plaza, our front yard, and even inside the 4 walls of our home.
A firearm is only the tool by which you implement a small portion of your overall plan. A gun should not be construed as your plan in and of itself. Remove as many variables as you can now and you will have that many fewer variables when your focus needs to be elsewhere.