Well I did say "kindred" spirits. Lol. What you choose to do with that is up to you. Many people are just friends with past life loves, especially if the partnership ended badly. One of my best friends in high school was a love in a past life of mine. I knew because I would randomly look at him and expect a different face. I would get flashbacks and dreams of him in old fashioned clothes and feel endeared toward the image. We remained good friends for seven years 100% platonic.
Many married couples divorce yet remain best friends afterward. When we die in a life it is a seperation of the binding of union (until death do us part), but that doesn't mean the connection disappears.I'm merely explaining a possible reason for your empathy. That's all. =)
There could be many reasons for the connection, but the most common is past life lovers, parent/child, or close sibling. Lovers are more likely due to the extent of your link. Some say that true intimacy is the union of two souls, especially when that intimacy is shared with two people who truely love each other. We may reincarnate, but that doesn't mean our spirit's forget.