Division of property rules/laws don't apply because miles/points are not the property of the spouse. They're the property of the hotel/airline, earned by and usable by the spouse under program terms and conditions, yadda yadda. Legalese, I know, but it affects how this works.
As previously posted, many programs go along with divorce settlements in this regard. There might be a small fee for the transfer, but what doesn't have a fee these days?
However, let's step back and think about the big picture. I'd value those miles and points at somewhere in the high four figures. Half of it is in the low-middle four figures. It would be a lot easier, if the parties and their lawyers are civil enough to think in these terms, to come up with something else worth about the same and give her that.
(I was fortunate enough to have my divorce handled by a mediator rather than by duelling lawyers. We approached a number of issues this way, though not specifically miles/points since I wasn't heavily into them at the time. I think we ended up with several win-wins and credit much of our remaining civil since then to this approach.)