Would they? The last space shuttle was designed and built decades ago, and NASA didn't build it. The people being let go are the ones who have been supporting the shuttles and planning and operating the missions. Well, the shuttle is going away. The replacement would have been a decade away. There is absolutely no reason to retain them just for the sake of retaining them in a job if there is nothing for them to do.
One of my former students called me the other day asking about a job. He's getting the boot with the trashing of the Orion program. With Orion in place there was something for him to do. Now, nothing. So it isn't just shuttle operations people getting the boot.
And no, he isn't going to do Muslim Outreach.