I would agree that the basic rule is probably that a person from a broken home will repeat their experience in future relationships. However, I believe, like in all situations, an overly broad description will limit you from some very worthwhile people. Just because someone was from a broken home doesn't mean that they necessarily don't know there's another way to live. For example, my parents divorced when I was 11 or 12. Before then, we had what you would call a picture perfect family. My parents NEVER fought. I really mean that too. I NEVER saw them fight throughout my entire childhood until the divorce. Before that they were a power couple who were very affectionate with each other. The divorce was sudden and shocking.
By the time of the divorce, I had already learned how a healthy family operates. I have NEVER been in an unhealthy relationship. I have never had a man even threaten me much less hit me. I never had jealousy issues with men (in either direction). And, I didn't play games with the men that I dated either. The reason that I had such a healthy outlook was because of what I saw at home as a child. I knew the difference between healthy and unhealthy relationships. Most importantly, I've always had very high self-esteem and self-respect. That doesn't make me a snob, it's just so unusual in today's day that people fail to realize that that's the way women are supposed to see themselves.
Anyhow, each person's life experience is different. By most people's standards, I am the quintessential "broken home" girl. From the divorce on, you couldn't get any nastier. I've always believed it was because the break was so intensely painful for my parents because they did have it so good. Yet, my beginnings were far healthier than most. I had a competitive spirit, and through my successes, I learned that I have the power to control my destiny, and I will.
So, if you do decide to limit your dating experience to those whose families mirror your own, I think that you have limited your potential for true fulfillment and happiness. Perhaps, the problem isn't that you are dating girls from broken homes. Perhaps, the problem is that you are dating girls with low self-esteem and/or no self-respect. A poor personal image "will" destroy a person's potential.
Anyhow, I often share my experiences online because I believe that there are too many examples of the negative, ie, the failures. There are a lot of children out there who are experiencing tremendous challenges all alone. I often share my background in the hopes that people realize that the fight is always in us as long as we still have a heartbeat.