According to this other question:
The person has to be worthy in Odin's eyes, or be able to break the enchantment that Odin placed on the hammer
So what I'm really asking is, is Dr. Strange a powerful enough magician to break Odin's enchantment?
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No. The magic the Asgardians use varies widely in strength depending on the caster. The pronouncements used by Odin are almost unbreakable by the magical abilities of Loki or Carnilla, two of the greatest sorcerers in Asgard. Both of their powers exceed the Sorcerer Supreme's ability. It can be concluded few, if any, have the magical ability to remove Odin's enchantments backed by the Odinforce.
Dr. Strange's power varies from writer to writer. Remember that he single-handedly defeated Galactus a couple times, once even defeating a fully sated Galactus (Doctor Strange #17):
By the way, Strange managed to re-create the universe after that, which Galactus had previously destroyed.
Meanwhile Odin at his mightiest only got to momentarily stun and weaken a hungry Galactus (the Devourer had just eaten one planet before that fight though). Galactus was able to walk away from it, whereas Odin couldn't stand up later (Mighty Thor #5):
So yeah, the Sorceror Supreme can definitely be more powerful than the All-Father.
Also in the past, Stephen was able to summon the Mjolnir, although he did not hold it in his hands (Strange Tales #123):
And in Thor #621 the doctor is even telling Thor that he is going to take the power to recreate Mjolnir for himself (with consent):
So yeah, I think Strange can disenchant and reenchant Mjolnir, and lift it, if given a reason to and the time to learn how to do it.