My solution would be to build a tower about 100,000 feet into the stratosphere, which can be dome with today's technology. On top of the tower put a cannon which can launch dry ice pellets straight up about 300 miles. The dry ice will sublimate into carbon dioxide gas, which is heavy enough to get pulled back down to earth, and as a gas will spread out into a cloud. When space debris hits the carbon dioxide, it will loose momentum and gradually drop out of orbit, but will not be destroyed by the gas. Even working satellites will get hit, but should not be too damaged, and still have a working life while it is being pulled down.
The result of this will be that all the space debris, including working satellites, will fall into the atmosphere and burn up. During this time we can be launching new satellites to replace the old.
My solution is to take a bunch of democrat politicians (heck, throw in the RINO's too) and launch them into orbit wearing a space suit and holding a tennis racket.
I'm not sure they will remove much debris, but then the space debris has YET to cause me problems.