I looked into the history of anti-trafficking movements when I was deciding what I thought of SESTA/FOSTA, and I came to the conclusion that “true” anti-trafficking movements have been hijacked by moral crusaders who realized that attaching “anti-trafficking” to a law was a way to make it palatable to legislators beyond just a smaller group. Human trafficking is not a made-up issue, but these groups do nothing but harm to the real anti-trafficking cause.
I agree that it is not just the Christian right who has engaged in this, though. Famously, boxer Jack Johnson was charged for human trafficking for driving his girlfriend across the border. Their consensual relationship fell into the “immoral” bucket by the standards of the time because it was interracial.
It's also worth calling out specific instances like FightTheNewDrug and Operation Underground Railroad who have deep ties to Conservative Christian (Mormon) ideology, and are often called out by sex positive groups.
I agree that it is not just the Christian right who has engaged in this, though. Famously, boxer Jack Johnson was charged for human trafficking for driving his girlfriend across the border. Their consensual relationship fell into the “immoral” bucket by the standards of the time because it was interracial.