Just because you’re using the same word (involve) it doesn’t mean it has the same semantics.
She is exposing and labeling her children herself. She’s probably telling her kids what to feel and what they are. At that age a kid isn’t like “Mother I have become transexual, we need to fight the Republicans, bring me to the nearest politician”.
Don’t get your kid involved in politics, don’t tell your kids they are transgender, don’t you dare giving them surgery for their gender… let them grow and figure it out themselves. Just be supportive and loving. You can fight for them, but don’t get them involved in something that isn’t necessarily permanent to them.