"shared opposition" is correct and usable in written English.
You can use it when two or more parties have a mutual dislike or disapproval of something. For example: The two political parties have a shared opposition concerning the new tax plan.
Despite this fragmentation, common ground was found in shared opposition to immigration.
He sees a global "insurrectionary wave," united less by a shared ideology than by a shared opposition to an increasingly global social arrangement.
But the composition of the minority coalition, and the members' shared opposition to the war crimes tribunal, may sour already difficult relations with the West.
There is something contradictory about a confederation of nationalist parties, but in addition to their shared opposition to the E.U. the parties have a common patron in Moscow.
New York and Connecticut environmental groups said their shared opposition to Broadwater Energy's floating gas plant had forged new links between them.
As such, it became a place where people were able to associate freely, incubate local leaders and generate a shared opposition ideology.
Asked if they shared his opposition to abortion, Trump demurred.
The Labour Party, which shared his opposition to the idea, ensured that he wouldn't.
Mr. Burton said he did not know of a single elected Republican official in the state who shared his opposition.
In the United States, Soros was initially seen as an ally by Republicans who shared his opposition to communist dictators.
And Geniesse fails to explore the possible connection between Anna and contemporaries, like Mary Baker Eddy, the founder of the Christian Science movement, who shared her opposition to medical treatment.
