If they want to convince me to accept some kind of back door in my encryption, they have to propose a system where it can be shown that it cannot be abused by bad actors within my government, and where there are clearly stated public rules about when it can be used. It is possible to design such a system, where the probability of abuse is arbitrarily low [1], but I have a hard time imagining the current DOJ proposing…
Let's assume we have this "diverse group of shareholders" all with private keys and published public keys. The process for distributing and revoking those public keys adds a lot of complexity and points of failure.
Up to this point, the idea "works" but still provides a non-neglible increase in implementation complexity and decrease in security.
Once I use all those public keys to to encrypt my private key to place in escrow, it is impossible to verify if I have complied with the law and honestly provided an accurate escrow entry without actually having all those share holders decrypt my private key and verify that it correctly decrypts my content. At this point my content is exposed anyway.
It is NOT possible to create a secure, enforceable and un-abusable key escrow system.