Interesting list of candidates my Democratic friend from Nebraska has drawn up for my political party.

I didn't vote for any of them because I don't like any of them particularly, although Quayle is ok I suppose. The other three are fruitcakes of various and assorted flavors. Couple of corrections though to the history printed here. In 1968, Nixon wasn't an incumbent President, LBJ was and did face opposition in his own party from Eugene McCarthy and Robert Kennedy over the war in Vietnam. In 1976, Ford was the incumbent, but he was never elected on a national ticket, even as the VP so the Reagan challenge was reasonable and an attempt by Reagan to move the party away from the so-called "Rockefeller Republicans" aka "the Country CLub Republicans". In 1980, Jimmy Carter did face a challenge from Ted Kennedy simply because Carter had messed up so badly. Buchanan's challenge to Bush in 1992 was more an attempt by Buchanan drive the GOP towards a more isolationist stance on things like NAFTA than it was a serious attempt by him to win the nomination. In each of these cases of the party in power having a challenger there was a central dividing issue within the party. I don't believe that situation exists to any significant extent this year within the GOP.
Checking through the website provided by
Nebraska29 and some of the "conservatives" listed, I kind of had to roll my eyes a little bit. Most of them I've never heard of, and the ones I have heard of are hardly hardcore conservative Republicans. For example, I would consider Chuck Hagel to be somewhat to the right of moderate, but not very far, and I'm not so sure that he isn't supporting Bush for President. Perhaps since he comes from Nebraska my Democratic friend might enlighten me on that one? On to the questions posed....
1.)Should George W. Bush have faced a primary challenger? 
Good question. It might have been helpful for him to face a primary challenge to enable him to begin getting his message out a little sooner. It was a little frustrating at times for Bush supporters like me to have to basically sit on our hands while the 9 dwarves bashed away at him day after day. Might have been helpful to have something for us to talk about within the Republican party.
2.)What challenger would've had your vote if he/she ran? Which one would help make Bush a better candidate against Kerry? Certainly none of the ones you listed would have done that. I would have preferred an up and coming rising star in the GOP to have made a run to begin building a national organization for 2008. Maybe someone like a Steve Largent or JC Watts or even Colorado Governor Bill Owens might have challenged the President a bit and forced him to hone his message a little better early on. Not sure that any of them even wants the job though.
3.)Are people to the right of George W. Bush still imortant in the Republican party? Definitely, most definitely. I think the mainstream right wing of the Republican party is still the core of the party and I place them slightly to the right of President Bush and on some issues, to the right of where I am. On others, they are to the left of where I'm at. But, they are still the heart and soul of the GOP in my opinion. No Republican can possibly win a national election without them.