False Flags: Could Anti-Sex Organizations play the puppeteer?

This is a half-serious post.

Say we have an anti-sex organization. Some underground, some surface-level making moves within the government. We all heard about the conspiracy theories revolving around the CIA and their false flags in the past.

In an anti-sex organization, there are gonna be the radical sectors who wish to fulfill their purpose by any means necessary. One example could be false-flags, with the intention to shift public hatred towards sex-positivity and the hyper-sexual society. How do you think that could happen? And if we want to entertain such idea, how can it be done without harming people?