Republicans hold 47 votes in the Senate and if they win the majority, that could further boost Cornyn's chances. After all, the NRSC chairman would be given much of the credit for electing more Republicans to the Senate.
Both Thune and Cornyn are reasonably well-liked in the GOP Conference. But Thune could be a formidable opponent, given that lawmakers already expect to at least gain seats, if not be competitive for the majority.
Terri Henderson, 6, center, whose mother is El Salvador, attends a rally with members of Congress at Union Station's Columbus Circle to announce the Restore Opportunity, Strengthen, and Improve the Economy (ROSIE) Act on July 29, 2014. The legislation provides incentives for government contractors to pay a living wage and other benefits that would help low-income workers.