Well honestly the trans community was trying to do that when it came up with xey/xem and such.
Trans people: "Use singular they for me please."
Society: "That's wrong! English doesn't work that way! Come up with something else!"
Trans people: "Ok, what about xey/xem or --"
Society: "That's wrong! English doesn't work that way! Just use singular they!"
Trans people: "..."