Do you know the person in the dream whose house was broken into? If so do they have any children in the home?
May I ask if you have gone through anything emotional or very personal in your life recently? If you do not recognize any of the people in the dream then the dream most likely relates to you personally. Unless you recently have encountered someone that you have been thinking about, then this dream could apply to that person you recently encountered. So, we have to distinguish if this dream applies to you personally or about someone you know.
Yes that would make sense with the divorce relating to your dream. Once divorce takes place it causes a lot of unwanted emotions and feelings. Similar to rape, it is something that takes place that is unwanted and it is forced upon you and your to not able to do anything about the situation and it causes emotional turmoil to yourself and to your loved ones such as your children. Being stripped naked in the dream is showing you are being stripped of your covering and being left feeling vulnerable. Since your children have no say in the matter, its not by their choice so they may feel the pain more so. Similar to the feelings of rape. I am sorry you are going through a divorce. My suggestions would be to make it as easy as possible if there is no other options but to follow through with divorce. Depending on your spouse and how they are, I would be sure the kids know that they are loved regardless of what taking is place in your marriage. So lots of extra love and support in this situation would be greatly needed.