Pronouns and Gender Examples of the Problems:
Each one of us loves his mother.
The writer must carefully proofread what he writes.
All men are created equal.
Let’s ask each of the poets what he thinks is his best work.
Let everyone ask himself to consider the problem of the lack of the epicene pronoun.
Man, being a mortal, breast feeds his young.
... — PoeticUniverse
Examples of available solutions:
People love their mothers.
Writers must carefully proofread their writing.
All people are created equal.
Let's ask the poets to name each of their best works.
Let's all ask ourselves to consider...
Being mortal, we breastfeed our young / Humans breastfeed their young.
And so on.
All of which pay heed to grammar and gender neutrality. Where the two must conflict for stylistic reasons, it's generally acceptable (and often desirable) to bend the grammar rules, especially concerning verb-subject agreement.
But they won’t have a chance of getting used if they don’t sound right. — PoeticUniverse
They probably won't have a chance, period. The difficulty with messing with the pronouns is that they're a closed word class and very resistant to change. So, it's not something that can really be subject to decree. Having said that, I don't get the self-righteous refusal not to respect—within reason—others choices about how they want to be addressed. Seems like an unnecessary way to make enemies.