The government can already enter anybody's home upon receiving a warrant to do so. If you don't let them in, they can bust through a door or tear down a wall. We trust the government not to do this without court oversight. We trust courts to provide good and honest oversight. It is far from a perfect system, but we set up lots of human-level checks and balances to keep power distributed enough that this basically works.
The problem with strong encryption is that this is impossible. Even if there is a very good reason signed off by an honest court, it is impossible to get in. This breaks that human-level checks-and-balances system. What replaces it?