Or, we just create our own division and work in tandem with the police. There's gotta be a logical progression, and place for us.
T1 Regular criminals - regular police.
T2 Regular criminals with mcguffins / tinkertech - Police with Lextech / Lexcorp's S.W.A.T
T3 Powered Individuals - Project CADMUS / Belle Reve / Lexcorp Elite Intervention (Mercenaries from us)
T4 Alien Invasion - Government / League intervention
For T1 criminals, they're not worth our time. We can help bankroll the cops, and provide equipment, but at the end of the day, crime will always be around. Sure we can have plants, moles, etc. on the police force, but focusing on this as a priority takes away from more important things.
T2 criminals / heroes are our bread and butter. Having our own elite version of SWAT to step in when things are too hard for the police is the best bet. We have the money, equipment, and space to train our own private team to deal with this kind of threat. In addition, we snag someone in Intergang with Apokoliptian weapons / tech, we score. We get the alien & super science tech without any pesky red tape, and can use our own skunkworks to reverse engineer / implement / innovate this stuff. This is the KGBeast, Captain Boomerang, Deadshot tier. Individuals that police are not equipped or trained to fight, nor should they be. We look good assisting the police, get the goods, fame, and power. It's also a good recruiting pool of individuals for future plans / actions.
T3 criminals / heroes is where we need to put the most effort into. People at this tier can easily cause massive damage and death, and no regular police force can possibly be prepared for it. Expect high casualties and collateral damage for ordinary civilians, and moderate risk for elite troops. Here is the playground Superman generally intervenes in, and where we need to be able to respond publicly. This is the Livewire, Atomic Skull, General Zod tier. We need the ability to direct significant effort in a short amount of time. Rapid response team of teleporting units nearby with specialized equipment loadout would be the ideal situation, but Speedsters or Helicarriers with jump troops also work.
T4 criminals / heroes is our operating goal. Thanigarian Invasion, Atlantean Invasion. War World, God Tier Amazo, massive planetary events tier. This is where the Justice League / Legion of Doom is required to step into events to prevent or encourage specific outcomes. This is where we want to be our playground to be, and will require multiple powered individuals acting in concert, or us reaching the level of being able to interact with the Source Wall. This is where we beat Superman. If we want to truly hurt Superman, this is how. We make him useless, because humanity can stand on it's own without the need for an alien.