"hardheaded view" is a correct and usable phrase in written English.
You can use it to describe someone's point of view or decision as being obstinate and stubbornly clinging to an opinion or course of action even when it is refuted in some way. For example: "John refused to budge from his hardheaded view that eating only kale was essential to health, even after being presented with evidence to the contrary."
In fact it is compatible with a hardheaded view of human violent inclinations which is firmly rooted in evolutionary biology.
More than anyone else in the business, she takes the hardheaded view that the past is the past.
The French have consistently taken a more hardheaded view of this solution than have the Anglo-Saxons.
As a matter of fact, France didn't join in the United Nations' happy chorus of "Liberty for Libya". The French have consistently taken a more hardheaded view of this solution than have the Anglo-Saxons.
In the hardheaded view of the few agencies devoted to helping the city's 30,000 homeless children, reclaiming a child who has lived on the streets for very long is all but impossible, especially when drugs are involved.
At a time when Israel and the Jewish people do truly face existential threats, a hardheaded, reality based view of politics surely must overcome the politics of knee-jerk negativism.
At the age of 72, Le Guin has brought to bear on her youthful creation the hardheaded, cleareyed, ultimately optimistic view of human nature that she has forged during an extraordinarily productive and thoughtful career.
But, as she has demonstrated in the Senate, her foreign-policy views are hardheaded and pragmatic.
Victor Gollancz, one of the most hardheaded of interwar publishers, took the view that a collection of short stories sold between a quarter and a sixth of an established author's novels, with a rigid maximum of 4,000.
The new work marries hardheaded economic analysis with the insights of social and cultural history, integrating the bosses'-eye view with that of the office drones — and consumers — who power the system.
