Nixon was fairly liberal on domestic policies (his advisor on the issues was, after all, Daniel Patrick Moynihan).
That invariably means he'd lean towards lower unemployment over lower inflation. Although wage&price controls don't particularly work, it's possible he would have expanded them.
Potentially Nixon may have tried to pass an (indexed-to-inflation, as he'd previously indexed SS to inflation) guaranteed annual income as part of a second attempt that included say the GAI + healthcare insurance in return for the elimination of welfare and Medicare (but, presumably, not Medicaid as Nixon's health insurance was via employers). It would be a tricky deal, but an interesting one for both sides. If Nixon did well in '74, Kennedy and the Senate might well have agreed.
That wouldn't help in the short-term, of course.
I doubt Nixon would have allowed the Fed to cause a recession to bring inflation down.
He might, however, have indexed the minimum wage to inflation. His only purpose with domestic programs was to keep his popularity high enough to have a free hand in foreign affairs. That would be highly popular, no matter how business might scream (Walmart, for instance, is a case study in Southern Businesses and their ways to get out of paying a real wage).