I'm skeptical the Twins will free up both the necessary salary space and the prospect capital to make Kikuchi happen.
Much better option than Paxton, though. I was intrigued by Paxton's availability yesterday, but this morning I wouldn't bother with him. When in doubt, don't bet against the Dodgers' player evaluations. I don't care at all for the other pitchers named in this thread as alternatives either, the common thread being low strikeout rates, and/or high walks, and/or current ERA fueled by a stretch of favorable BABIPpery that I don't believe will be sustainable.