A totally different option is to treat Jane as what she is, a poor woman who has turned herself into the caricature of a feminist, and get her out of this. 

Next time she starts The Speech, tell her straight away that you have heard this before, and ask her whether that is all she is. Offer her a beer (that will probably the first time this happened to her in years). If she doesn't like it, ask her what she likes. Insist on an answer. Do not accept any feminist talk, interrupt it immediately, and get to a different subject.