GW Bush a few alternates:
1) Rumsfield -- was apparently on the short list for quite some time. He may wield less influence than Cheney, but might be similar in some ways.
2) Colin Powell -- was considered but apparently wasn't interested. He'd definitely have influenced toward more consensus. Likely no Iraq invasion. Being the first black man in the presidency, he'd lessen the "excitement" for a later black presidential candidate.
3) McCain -- was considered. Would probably improve working relationships with Congress. Likely no Iraq invasion.
4) Ridge -- seriously considered. More consensus building
Choose a president, then give him an alternate veep. Simple. Not really.
Why was this veep selected?
What impact does this have on the presidency? If any?
Might this veep be elected president in his own right?
Have fun!