Astroscale is one example: http://astroscale.com/
It would take a while, it would be costly to start up, and boy does this sound like a weapon from 50% of space sifi stuff I've ever read or seen...
However I suspect it's still the cheapest solution to the issue.
It's the way you use something that makes it a weapon.
So it's not the way you use it that makes a weapon, a weapon remains a weapon throughout it's non-violent uses; the oldest trick in war is to disguise weapons as tools before using them in an attack. See nuclear proliferation under the guise of atomic energy, the militarization of space, Hitler's powerful 'defensive' army.
It may sound like a pedantic distinction, but in practice, the fact that something IS a weapon, regardless of how it's being used, will drastically alter decisions. Imagine an unknown person coming at your family with a knife or ax in hand. Under the "not a weapon until used as such" doctrine, the burden is on you to prove the agresive intentions and you have no logical reason to be concerned until then.
Even then in LEO you get enough drag to limit risks and the worst case ends up as a trade-off of safety vs continuous fuel usage. Remember, space is vast but satellites and space junk are both really fast and stay up for a long time. Prevent junk from staying in your orbit and the risks dramatically decrease even more so if you add maneuverability. Even better LEO prevents your satellite from adding to the mess long term.