I can't see ENTps being a serial killer. Even if the idea appealed, we tend to generate so many possibilities, I'd say I'd be too paranoid to do it. There aren't enough good possible outcomes. If I was a leader in a war, the killing would be the last resort. To me killing to get my way seems more like avoiding the problem than dealing with it.
I can see either an ISTp or ESTp doing it. The ESTp being far less likely to though (they'd get someone gullible to do it for them).
I could see some NFs committing crimes of passion. SFs, I'm not too sure about. I think they could be manipulated by other into doing it though.
INTp or INTj...hmmm...I would think they would need a reason to do it. ENTj...maybe in a rage.