"deepest ambition" is a grammatically correct and usable phrase in written English.
You can use it when discussing a strong wish or goal someone has, as it implies a strong emotional investment in achieving said goal. Example sentence: Alice's deepest ambition is to become a successful businesswoman.
The incoming mother ship, this time, is round and flat and three thousand miles in diameter, as if the aliens' deepest ambition were not to exterminate us but to make paella for everyone on the planet.
But in terms of Murray's deepest ambition, which is not to be filthy rich but to win majors and earn a place in tennis history, the leathery snowbirds hanging from the fences at the Orange Bowl could still turn out to be right.
For the 'fraudulent' Indian, uniquely sensitive to his place in the world, the jux-taposition of a full-blown imperial English culture with the 'formless, unmade society' of a small Caribbean island was only a source of panic and uncertainty, especially if it was your deepest ambition to use this language to write about, and make sense of, the world in which you were growing up.
The son who harbors the deepest ambitions is Hameed, the third-eldest, who is thirty-nine.
The change of fortune befalling the city of Knoxville fulfilled one of the deepest ambitions of President Lincoln from the earliest days of the war.
However, they are also entitled to give new credence to Dalglish's conviction that the club will have a sturdier spirit in the absence of a player clearly out of sympathy with its deepest ambitions.
If by way of oil, or if by slower yet still miraculous economic metamorphoses, or if because Liberians are just too weary of war, stability takes root in her country, then one of Sirleaf's deepest ambitions might be realized: to improve the plight of women, who suffered inordinately throughout the years of fighting.
As a result, their inner criticism will not go away by trying to lose weight; it will only go away when the power that fuels it gets used as it is meant to -- in their relationships and in service of their deepest ambitions.
The governor still has deep ambition, but it's no longer cold and destructive.
His deep ambition was to find the right lyricist partner and become America's Gilbert and Sullivan.
Sterne became a celebrity, and made a fortune, fulfilling a deep ambition.
