Technically if you are against terrorism then you should be for police abolition, because police uses violence for political reasons.
No police doesn't solve it, because there will be assholes in any group.
In that case, would your only recourse be to hire a private investigator to identify the culprit, and then personally show up at their house to exact your revenge? That doesn’t seem sustainable.
We now a standoff between your private army and someone else's. Seems like an extraordinary inefficient way to achieve justice. (And, one that will likely end up being quite deadly for all parties involved.)
Unless you're the richest person in the world. Because if you aren't, someone is going to outbid you on the security forces, and then it's their decision, not "the market's" decision.