I don't think the fate of civilization depends on whether or not there's Saturday mail delivery, but it's in the category of "nice things" and the only reason the post office is in "trouble" is because of onerous retirement prefunding requirements. But, anyway, Saturday mail service remains for now.
I've been a bit puzzled by this one. I doubt Republicans really want to kill the post office. Or, at least, they would also miss it when it's gone. They're not always so good at understanding the consequences of their actions.