What would overturning Roe mean for birth control?

Just a few links to show the mindset of some Republicans:

https://www.idahostatesman.com/news/politics-government/state-politics/article261207007.html
https://www.businessinsider.in/politics/world/news/mississippi-governor-twice-refused-to-rule-out-banning-contraception-if-roe-v-wade-is-overturned/articleshow/91439342.cms

Ah yes, let's hear from that arbiter of the public weal, NPR. Surely, their unbiased opinion is worthy of consideration. Does the leaked version of the SCOTUS decision to overturn Roe v Wade define when pregnancy starts as this article avers? I think not. From what I've read, it provides a rational basis for overturning a precedent based on faulty legal reasoning and creating a Right to Privacy out of whole cloth. If Roe v Wade is overturned, the control of abortion will return to the hands of the states where it rightfully belongs. If any state enacts controls that are suspect, each will be considered individually (hopefully).

Fear mongering? How does anyone know how it will shake out. Each state gets to decide. Can they really predict what states will do?