If the pronoun he and she are sexist and every individual should be they or them, then the pronoun me is sexist and we should only refer to ourselves (even in the singular) as we.
In other words, individual pronouns themselves are the problem, and everyone should always be referred to collectively.
(Actually predicted in a short story by Ayn Rand.)
We’re schizophrenic, and so are we.
I am he as you are he as you are me
And we are all together
See how they run like pigs from a gun
See how they fly
I’m crying
Anthem
actually a good story