Actually, the people could get jobs with the new companies, probably at reduced pay and reduced benefits but still they would have jobs. Also, the buildings now being used by the USPS could be sold or rented to private mail companies. I would bet UPS and Fedex would love to take over mail and all package delivery services.
The alternative is for the UPS to dump the Unions, dump all the extra perks and go back to being the type of mail delivery service I remember from when I was a child living on a Rural Route.
You have to be part of management to buy stock in UPS.