The poll shows a clear preference for Basic Info before Bio. There were comments further explaining some voters' choice that Basic Info only go before Bio if it was just the basic basic info, without schools and stats. This works well with the suggested rearrangement.
Here are the reworked mocks (again, shown as if you're looking at someone else's profile, in which the edit links wouldn't be visible to you):
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We look forward to hearing your feedback on the new mockups.