As seasoned performers the drag artists are more than capable of altering and adapting their characters to suit young audiences. This may shock you but some the drag performers may even be parents themselves.
Please remember that implying all individuals who identify as LGBT+ are somehow predatory sexual deviants is an incredibly offensive and outdated example of homophobia.
And for those concerned this acts as some kind of indoctrination please remember that for young children any information on the LGBT+ community is not at all sexual but instead raising awareness that we are all different, people live their lives differently and that's absolutely ok.
Drag performers want to do this to promote literacy, diversity, support local libraries and help community cohesion. At its core, drag is about spreading beauty and joy - two things that everyone is entitled to regardless of your identity.
Drag performers can be of any gender or race so the idea of "what if a woman dressed up as a man" just isn't true - drag is inclusive and open to everyone.
Drag queens and story time go hand in hand as both are fun, educational group activities that spread love and understanding.
I find it interesting how few of the commenters here have actually attended one of these events. Perhaps they might learn something as well as their children.