Of course I was obligated to call the police departments involved to find out more. It appears that what we have here is a case of "dick cop". The individual representative of Durham's Finest that I interacted with was laying on the intimidation tactics way too hard. There doesn't seem to be much malfeasance further up the chain. I complained to the local shift supervisor about the swat comment and he apologized and said he would talk to the officer.
I don't think I will file any formal complaint, because it's strategic to stay on the local PD's good side. If I were more principled, I would sue them for intimidation, making lethal threats, emotional duress, and keeping me up all night when I am already sick. However, I have no proof of any statements that were made, because I was not recording the encounter, which is a lesson itself. I would love to have an audio recording of my interaction including the "suspect is being noncooperative" statement over the radio. I don't have a voice recorder but I was thinking I could have started my phone videoing and stuck it in my pocket to get audio.
The other lesson is simply don't open the door for police. If I had been traveling, the cops would have knocked on my door, and left. The reason I opened the door is that there were a bunch of car break-ins in my neighborhood and I thought they were either going to tell me my car was broken into. The naivete is in assuming that the police are here to help.
Also, they asked for my ID. I gave it to them, but I assume I could have refused. Can cops require your ID when you are on your own property?
I gather that the neighboring county department, where the alleged theft allegedly occurred, was going by the "find my iPhone" app, which they said is typically accurate. However, they said that the location had moved and as of 2 hours after my visit, it was now a block to the north from me.