I would've voted for Willkie no matter what, but here's my map:
Wendell Willkie (R-NY)/Charles McNary (R-OR)- 324
Joseph Kennedy (D-NY)/Burton Wheeler (D-MT)- 207
Since this was 20 years before Camelot, and I doubt America would still be ready for a Catholic president, Willkie wins easily, albeit narrowly.
This looks about right in my opinion.
Willkie was an admired man in both parties; the only reason he lost in real life was that is opponent was one of the greatest statesmen in history. As a progressive Democrat, I would have voted for Willkie in this scenrio.