There's no way to know for sure, but I'm curious about your reasoning. I'm not sure if I'd even agree with you. A technology and science focused president could do a lot of good, not least of all changing the mindset of people. Of course it'll be hard to get anything done with all the bipartisanism and opposition but that's a separate issue.
That's actually my point though, which is purely pragmatic. In a world where we don't have to account for politics, sure, I'd love to see what would happen if scientists, engineers, and entrepreneurs were to govern. In a world where most of the time in government seems, to this observer, to be spent politicking, I'd rather see people like Mr. Musk doing his own thing.
After stating that, I still would like to see more engineering types in leadership positions because engineers are more data driven. However, most engineers are too busy building things to run for office.
Woodrow Wilson was an intellectual (though not a scientist) and he was president.
Keep in mind the president's cabinet members probably consist of many scientists and this is probably sufficient for advising and keeping the president knowledgeable on issues.
Obama's cabinet:
http://en.wikipedia.org/wiki/Steven_Chu - Nobel prize in physics - Secretary of Energy
http://en.wikipedia.org/wiki/Rebecca_Blank - PhD in Econ - Secretary of Commerce
Probably more scientists on board.
EDIT: After brushing up on a little ww2 history, it seems as though I've attributed too much blame to Wilson. He pushed a liberal approach towards Germany, the French delegation pushed for harsh reparations, and he lost out.