Ok, I shall attempt to answer this question, but please realize it is only my opinion.
I am a single, divorced mom and feel more attracted to divorced men than single men. I feel that if I were to remarry, I'd like to tie the knot with a divorced man who also have children. To me, it's a question of wanting someone who has had the experience of being a husband and a father. I would feel connected to him, because we somewhat share the same experience.
I have been radically changed when I learned to live with another person and when I learned to be a parent. Both of these situations have required me to make sacrifices I never had to make when I was single. Both of these have taught me to love in unique ways. Both of these have molded and reshaped me and I feel that I would not be able to "fit" with someone who has not been reshaped by these same and unique situations. By being a wife and a mom I have been stretched, pulled, pushed, pruned, bruised and loved in very unique ways and, if I ever get to have the opportunity to get married again, I would want it to be with someone who has gone through the same storms, and struggles, and incredible and magical moments as I have. I would need to have that sense of complicity with him.
I'm not sure if this makes sense.
However, I definitely don't think that single men, men who have never married, are weird or from another planet. They are normal people, like every body else.