With Lesley, it's all about power and order: who has it, who should, and who shouldn't. There should be power enforcing order, and she should be on the side of that power. In the first few books, listen to her comments (relayed via Peter) about what good policing is and what sorts of things police should be able to do and why. (The only one I can think of off the top of my head is the one about how people with heart conditions shouldn't get in the way of a cop with a taser, and if they did something the cop didn't like and got tasered and died, it was their own fault.) Peter takes it as a bit cynical top level on an otherwise good person by viewing her statements through his own irony. But if you take her statements as relayed by Peter absolutely seriously, you get quite a different view.