Josh Hawley and Tom Cotton are Social Conservatives in the mold of Mike Huckabee, Rick Santorum or Ted Cruz so I can guarantee you all already that they won't win the Nomination because they will mightily struggle with Moderate Republican Men & Women Voters in the Suburbs.
A Republican Social Conservative will never ever win the GOP Nomination. That's why McCain got it over Huckabee & Romney in 2008, Romney got it over Gingrich & Santorum in 2012 and Trump got it over Cruz in 2016.
That's also why a Progressive like Bernie Sanders, Elizabeth Warren or Alexandria Ocasio-Cortez will never ever win the Democratic Nomination.
You only need two things to be a GOP nominee now:
1. Declare that you will appoint judges who will overturn RvW
2. Promise to deport the illegals and never make it possible for them to come back legally.
That's it. That's the Republican Party. That's what Trump left them with. Fiscal responsibility? Balancing the budget? Prudent use of military force abroad? Forging stronger ties with our allies? Containing Russia and other rival powers? None of that matters.
Stop abortion and immigration from Latin America. The Grand Old Party.
Pathetic.