Actually, I'd argue that being proactive begins to tap the "Minority Report" line of morality. You're assuming that the criminal is going to do it based on circumstantial evidence. The evidence has to be circumstantial, because the criminal never actually did it!
So how do you define lawbreaker? Someone who has already broken the law is just someone you're tracking down after the fact. Someone who hasn't broken the law is someone who isn't yet a lawbreaker. It's not skirting a morality line as running through it.
Also, I don't think it could be about resources, this is DC! Land where a single billionaire manages to run an entire team of superheroes out of his basement cave! Resources? I wish they were so practical. It's probably more about the fact that a story of someone putting together a bunch of clues after wading through piles of evidence is a lot less interesting to the average reader than "BAM, POW!"
I'd also like to point out that the Outsiders Arsenal/Nightwing version was supposed to be this. It was supposed to be the proactive team that caught the criminals first! Of course, that's not really what happened, but it's historical precedent for how DC might handle this. (Badly)
As to Oracle not being on the team? I have no idea. Obviously she should have been the first person to call. I'm totally with you on that.