Class is also an Identity. One that most have in common.
Regardless of race, religion, sex, or gender; nearly all of us are working class.
So policies that help the working class, will help everyone. And those subclasses that are disproportionately held back, will be disproportionately helped by universal pro-worker policies.
It may be easier. But that's not why.
If you avoid politicized language, a large majority of the US is quite left leaning, and economically progressive.
One of the Republicans favorite things to hate is the ACA (Obama Care). But if you ask them about the individual policies in the ACA, they approve of each of them by at least 2/3rds. And nearly all agree that the government should prevent people from being forced into bankruptcy by medical expenses.