No, the US wants peace. They just don't think things are bad enough to pressure Zelensky to agree to a peace deal with terms that'd heavily favor Russia. If Putin agreed to withdraw from Ukraine except for Crimea and the areas held by the separatists prior to Russia's invasion and to pay reparations, sure the US would tell Zelensky to go for it. Obviously Putin's never going to offer that. At best he'd offer to simply end the war with new borders drawn where his forces currently hold. Zelensky and his government are never going to agree to that when they have a realistic chance of pushing his forces out of some of those areas. And since there's still a realistic chance for Ukraine to push Russia out of some of those areas, the US isn't going to pressure them to give up on them.
And east/west split? Have you looked at a map of the situation lately?
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There can hardly be said to be an east/west split with what Russia currently "holds". Giving up the amount of "east" that would satisfy Putin would mean giving up territories not actually held by Russia at this time.
Russia will never agree to peace that involves giving Ukraine nukes, and the US will never offer to give Ukraine nukes. That's just an open invitation for both sides to start nuclear proliferation to their non-nuclear weapon allies.
Ah yes, Putin should pinky swear not to invade Ukraine a third time. Otherwise when he breaks the peace treaty, the treaty will be void as usually happens when someone deliberately breaks the peace treaty and invades. Great deterrent there.