Roninidas

To answer the question bluntly.  In the DC Universe. I would consider him the best hero to come out of America.   Untell he renounced his Citizenship that is.
 
In the Marvel Universe.  Obviously it is Commander Steve Rogers and Captain America. 

@AngelDust616: 

I enjoyed the thought baloons too, lol!.  Wolverine Origins was a pretty good story arc.  Didn't Wolverine beat Captain America in that story Arc?  Much to my dismay as Cap is my favorite character. 

As far as the ideologies go.  I think you are right.  Regardless, even if they go fisticuffs I seriously doubt Marvel would let either one of the characters kill the other in combat, not that they would.  I do think they have a sort of underlying respect for one another.  I do think they would fight until one of the them would be knocked unconscience. 

How funny would it be if Schism was the beginning of a possible future where Cyclops and Wolverine take on the roles of Professor Xavier (Cyclops) and Magneto (Wolverine).  I could see Wolverine crippling Cyclops and putting him in a hover chair like Professor X.  And Cyclops putting together a team of New X-Men or S-Men to protect Mutants and promote a peaceful co-existence between humans.  Where is Wolverine and his X-Force Team fight for Mutant rights by annihilating Anti-Mutant Targets. 

@AngelDust616: 

That is a sweet picture.  The Brood was extremely huge and hard to miss.  Cyclops really didn't need to worry about missing.  Wolverine presents a way smaller target therefore would be harder to hit since he doesn't have control.  I submit this picture for you judgement.  This is from the Story Arc Apocalypse:  The Twelve when Wolverine was the horseman Death.