Republicans try to cut taxes and regulations all the time. How else do you propose to sustainably help poor people?
"cut taxes" uhh...yeah, that extra $36 a year will really bring them out of poverty huh? I believe that was the average saving for middle class people from the 2017 cuts (and conveniently those are temporary).
I don't see how cutting regulations is supposed to help poor people, the only regulations they cut help big business. If the regulation helps keep poor people down like regs limiting unionization or marijuana prohibition the Republicans always seem happy to keep the system in place.
Regulations keep big businesses afloat by removing their competition: small businesses who cannot compete with them. Having many small businesses do something rather than one large corporation will tend to employ more people and give consumers (who are often poor) more choices and greater satisfaction.
Cutting taxes for businesses will also allow them to hire more, as recent American history has repeatedly shown.
I don't want to say Republicans are perfect (very, very far from it), but Democrats rarely suggest these tried-and-true solutions at all (though, to their credit, not never).