I think it's highly unlikely. They need to find somebody whose stature would be increased by becoming the chairman of alphabet in about the same proportion as

I think it's highly unlikely. They need to find somebody whose stature would be increased by becoming the chairman of alphabet in about the same proportion as the prestige Alphabet would gain by having that person as their chair. Obama as their chairman would be a huge win for Google, but I feel like he probably has better things to do. As a former president, being tied to Google would only hinder him in lobbying goverments for whatever he chooses to lobby for.