Midnight Quickie: Question

If the Fourth Amendment doesn't apply in domestic military operations, then can that sort of reasoning be used to overturn Roe v. Wade? It seems to me that suspending the Fourth Amendment in this case is a bit of a surprise. It actually sounds like someone just made that up on a whim in order to, I don't know, justify warrantless wiretapping or racial profiling in airports and other transportation hubs. So how can I be be sure that someone won't conclude that the Fourth Amendment has no application when it comes to reproduction?