Fox never had a news division. CBS is renowned for theirs.And before anyone says "you can't do that", FOX (the broadcast network, not FOX News) does not have a news division and does not produce a nightly newscast or a weekly newsmagazine.
So there is precedent.
@umfan makes a good point about the ratings and revenue from 60 Minutes, but if it's seen as more of a pain in the ass politically than it's worth, CBS Sports could probably put an hour-long weekend highlights show in there and do pretty well.