IF Superman was on the Marvel earth, and was dispatched as Sentry was to "bring him in"...
Could the "Wolf man" actually find a way to defeat Big Blue?
How I interpret your question is whether adamantium weapons can take an average super hero/villain and make them a worldbeater. If Wolverine had no claws or only his bone claws could he beat Captain America or Spiderman? I don't think so. But hey give him adamantium claws and he can beat anyone (if you are a Wolverine fan). For me this is ridiculous, what is stopping other heroes/villains obtaining adamantium weapons and using them like Wolverine?
Superman vs Wolverine is a fantasy only for Wolverine fanboys, in any sane universe the question would never be asked as Superman would take Wolverine out any way he pleased in a very short time. The only scenario where this question could be asked is if Wolverine had plenty of time to plan an attack on Superman (without his knowledge) including use of kryptonite. But in saying this you could say that about anyone not just Wolverine.
Fanboyism has made Wolverine the most over-rated hero ever.