Moms for Liberty is part of a long history of rightwing mothers’ activism in the US

As the group has grown, so too have its political ambitions. Moms for Liberty places particular emphasis on capturing local school boards in order to secure greater control over school policy. More broadly, the group endorses legislation that would limit the topics that can be discussed in the classroom (for instance, Florida's so-called "Don't Say Gay" legislation), and they promote policies that allow parents to target books for removal from school libraries and classrooms. 

The materials challenged by Moms for Liberty reflect the "war on wokeness" announced by conservative figures such as Tucker Carlson and Ron DeSantis. Group members regularly disrupt school board meetings to rail against books that address the nation's history of racial violence (maligned under the fuzzy category of "critical race theory"). Likewise, the group condemns materials that explore gender identity or advocate for LGBTQ+ acceptance – particularly those that explore transgender identity. Librarians, teachers and parents who defend these materials have been repeatedly harassed by group members as "groomers" or "pedophile sympathizers"...

https://www.theguardian.com/commentisfree/2023/jul/06/moms-for-liberty-long-history-rightwing-activism