This type of hyperbolic proselytizing has no place in reasoned discussion.
They're not going to stop. They have no intent to. They're going to keep pushing until a legal entity pushes back one way or the other.
https://pulseforlife.org/why-not-contracept/
https://www.catholic.com/tract/birth-control
https://www.prolifewi.org/contraception
https://www.help.senate.gov/chair/newsroom/press/republican-...
https://www.nytimes.com/2023/06/17/us/politics/birth-control...
https://www.pbs.org/newshour/nation/birth-control-ruling-to-...
The US is already seeing attempts to pass laws banning Plan B or IUDs, it is not too much of a stretch to think hormonal birth control is at risk too.
The Catholic Church also considers adultery a sin but that doesn't mean Catholics want adulterers executed.
FWIW I think the Supreme Court overall does an amazing job upholding the constitution. The Roe v Wade upset made sense from a legal perspective and they have a strong recent history of supporting citizens rights in the face of overreaching LE agencies.