I usually do not split in such cases, but if you do, I guess the same journal is a better choice, especially if you think of the poor people who will have to look up and reference your paper in the future :). Also, if possible at all, I would include into the first part a forward reference to the second one (if the submission is to the same journal and the second acceptance occurs before you get the galley proofs of the first part, that may be completely feasible from the technical point of view). What I really do not understand in this story is how the referee is supposed to do his job being presented with the first part alone. I can imagine myself in his shoes writing something like "The paper has many interesting ideas and no flaws so far but it is completely unclear how the ends will finally meet..."
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