How did I get the label of resident communist? 😄
My pitch to right wingers is to think about societal issues from an economic perspective.
If you have inequality and a large pool of desperate and disenfranchised poor, you're going to get higher levels of crime, substance abuse and ongoing psychological and physical injury which adds cost to many government agencies including justice and health.
Usually the cost of these is far higher than preventative action like, for example, universal free childcare / early education, school lunches, affordable housing, and free preventative medical care like dental and annual GP checkups.
So as a pure economical argument it makes sense to look after the poor and reduce inequality.