To me, the Republicans represent the idea that "You're On Your Own" (YOYO). They believe that it is up to the individual if they want health care, a college education, etc. They don't believe that you should get any help from the government.
The YOYO people like Rush Limbaugh, Mitch McConnell, John Kasich, John Boehner, and the rest of the GOPers, like their exclusive little, mostly white, rich, men's club. They care about themselves and their own problems like the country club, their capital gains taxes, and the increasing fees of their stockbrokers. Republicans want to make it better for themselves and their rich friends.
Democrats are the more inclusive party and believe that "We're In It Together" (WIIT). Everyone and anyone can join the Democrats. They believe that our nation benefits when everyone has a chance to get a college education, equal primary and secondary education, public transportation, health care, and social programs, etc. Our nation is better when everyone has the same chances to get it right. Democrats want people to work together to make it better for all Americans.
Republicans just don't care. They never have and never will.