What if Cheney stayed House Republican Whip? Would he become Speaker in 1995? What would become of Gingrich? Who would Dubya's running mate be?
Had Cheney remained in Congress, he probably becomes Speaker at some point. Whether or not this would've been better for the U.S. is up in the air.
I wonder how President Clinton and Speaker Cheney would interact.Perhaps George H. W. Bush nominates Former White House Chief of Staff Howard Baker as Secretary of Defense. From what I heard, Senior Bush and Donald Rumsfeld didn't like each other, so I don't know if Bush would offer it to him. Gingrich probably becomes majority leader in 1995, and then becomes speaker after Cheney retires (or is pressured into stepping down when his infidelity becomes public). In OTL, Cheney recommended Former Senator from Missouri John Danforth to serve as Vice President, so Bush probably picks Danforth.