Or change in Chicago.
Alas the Chicago flights are no more after this summer. American Airlines dropped the route.
There is still the summer option of going via Philadelphia with US Airways, or Continental year round from Glasgow and Edinburgh via New York, or Delta from Edinburgh via Atlanta.
But I'd skip all of them for the chance to step on a plane at McCarran, off at Glasgow, and straight into a taxi home for a long sleep!
I was sorta jesting about The Bellagio. I did swanky new Vegas last time, kinda fancy somewhere a bit more old school (and affordable!) for my next trip.