The phrase "a shared desire for" is correct and usable in written English.
You can use it to express a common wish or aspiration among a group of people regarding a specific goal or outcome.
Example: "The team came together with a shared desire for success in the upcoming project."
Alternatives: "a mutual longing for" or "a collective wish for".
There is common ground among the vast majority of teachers, a shared desire for an engaged education.
Watching people from all over the capital drink and flirt around Leicester Square in 1985 got singer Neil Tennant thinking about class differences and a shared desire for escapism.
Mr. Obama believed he had built a good working relationship with Mr. Boehner based on a shared desire for a deal modeled on proposals of past bipartisan panels, which called for a mix of new revenues and changes in entitlement programs.
But based on what he has heard from Libyans across the political spectrum, Mr. Feltman said, there is "a shared desire for a different type of Libya that is going to have to take into account a lot of political trends".
Although the customers these professionals serve are widely seen as part of a single, growing consumer class with a shared desire for the best of the best, ideas of what that means can vary among cultures, as the American companies have been learning.
Forty-eight years later, Obama posited a shared desire for profound remaking.
There is indeed some chance for common ground here in the mutual respect for different moral convictions and a shared desire to decrease the need for abortion.
The reality is that the national interests of China and Russia mostly diverge — except for a shared desire to change the current U.S.-dominated world order, explicit in Russia, implicit in China's rise.
Business owners point to a confluence of low rents and property prices, an urban enterprise zone designation that offers various perks, landlords who have been willing to negotiate on leases, and, perhaps most powerfully, a shared desire to revive Asbury Park once and for all.
As much as there is lots of shame, there is also a deep and strong shared desire for us to be free of the body hate.
"It's been a fairly quick kiss and make up, but it's been driven by the approaching urgency of 2014, and by their shared desire for a stable outcome in the region".
