The phrase "a highly divisive issue" is correct and usable in written English.
It can be used to describe a topic or subject that causes significant disagreement or conflict among people.
Example: "The debate over climate change has become a highly divisive issue in recent years, with strong opinions on both sides."
Alternatives: "a contentious topic" or "a polarizing matter".
The wearing of headscarves is a highly divisive issue in Turkey.
How to promote more women has become a highly divisive issue in the European Union.
Mr. Bush was especially careful tonight when dealing with abortion, a highly divisive issue in Pennsylvania.
Climate change is a highly divisive issue in Australian politics – the country is heavily dependent on coal, and is a big exporter.
It is a highly divisive issue and will be the focus of a remarkable project this week when dozens of debates will be held across the UK, Ireland and the US as part of the Big Animal Research Debate.
And while a woman's right to vote is a given today, suffrage was a highly divisive issue just a century ago.
But advocates on both sides of the highly divisive issue of emergency contraception interpreted her decision in a political context, particularly since it fell during a presidential campaign cycle.
Mr. Obama will frame the new effort — likely to rouse passions on all sides of the highly divisive issue — as "policy reform that controls immigration and makes it an orderly system," said the official, Cecilia Muñoz, deputy assistant to the president and director of intergovernmental affairs in the White House.
In Berlin, where aid to Greece has become a highly divisive political issue, changes that would expand the main European bailout fund made progress through the German Parliament.
The president also heralded the country's evolving attitudes toward gay rights, noting it was a highly divisive political issue that not many Americans supported.
The European Union brought up the highly divisive issues of the relationships between trade and investment, trade and competition policy, and trade and the environment.
