I just want to say OP that this is not rare. And that you aren’t alone. Many, many years ago I had intrusive thoughts similar to yours.
One repeated intrusive thought I had was that I actually feared I was capable of harming my baby. I didn’t want to do so, and I had no urge to do so. But this thought would come into my head and because I didn’t get that feeling of aversion to a distasteful or horrible thought as we normally do, I started to fear that I might be capable of doing so.
I was horrified by my lack of horror at this intrusive thought if you get my meaning. (It’s hard to explain thoughts and feelings.)
This was a long time ago. No one talked about these thoughts back then, but I had enough money to see a private psychiatrist and he told me I wasn’t going to hurt my children (by then it grown into a fear of harming all of my children) He explained that I was suffering post natal depression. It was barely heard of back then and never spoken of. It (All anyone mentioned back then was the postnatal ‘ 5th day blues’ - when your hormones bottom and you feel teary).
The psychiatrist helped me a lot. When I first went to see him I thought he would arrange to have my children taken from me, I was frightened of that. But he knew immediately what was happening to me and helped me a lot. It was so long ago there was no CBT for it. (I’m old lol). Time, reassurance, and making some changes in my life, were what saw me come out of it. But there is better help for it now.
Seek help. know other posters have been there and understand you.
Best wishes to you OP. One day you’ll find yourself laughing, and smiling, and feeling totally connected to your little child. You can bet on it