Closest Sports Book to McCarran Airport (Las Vegas)? Can I make it?

[cc4sc]

I'm a regular Vegas vistor, but have never been in a transit situation in Vegas. I'm flying from LA to Chicago with a 2.5 hr transit. I'm hoping to hop into a taxi and go to the nearest sports book to get in on some CFB action (flying to Chicago for USC vs ND this weekend).

- What is the closest sports book? MGM, Mandalay Bay or Hard Rock? Other suggestions?
- It will be this Thursday night. Arriving in LV at 9:30pm, connecting flight leaves LV at 11:55pm. Can I make it???