The phrase "a core constituency for" is correct and usable in written English.
It can be used when discussing a primary group of supporters or members that are essential to a particular cause, organization, or political party.
Example: "The environmental movement has a core constituency for sustainable practices among young activists."
Alternatives: "a key supporter group for" or "a primary base for".
Many wonder how evangelical Christians, a core constituency for Moore in Alabama, will react.
That transition would be smoother if countries' grid-reliant communities – and not just off-grid ones – formed a core constituency for solar technology.
Cuban-Americans in Florida have been a core constituency for the president and the governor, with American policy toward Havana a central concern.
Mr. Obama is too young to have faced the draft and is unencumbered by the ghosts of the Vietnam War — an accident of birth that his advisers believe gives him a certain freedom in cultivating relationships with the military, a core constituency for Mr. Bush.
These games not only keep the Walt Disney-owned Marvel brand and its characters in front of the mostly younger mobile gaming demographic that forms a core constituency for Marvel's movies, comics and animated programming; they also generate revenue through in-app purchases, including sale of digital comics content.
Worse still, his South Carolina defeat epitomized the difficulty he had attracting support from black voters, a core constituency for the Democratic Party.
The farm sector has been a core constituency of the Republican Party for many years.
But for a core constituency of fans, the memorial to John Lennon on Sunday night will be nothing less than the defining moment of Michael R. Bloomberg's mayoralty.
Instead, they decided it was more important to legislate for a core constituency rather than to legislate for the country.
Legislating for a core constituency is passing a totally partisan bill that sends a message to a targeted group but has virtually no chance of implementation.
Moreover, these stakeholders are a core constituency and source of advocacy for juvenile justice reform.
