When you look at how things actually work in the US rather than the forms that are still claimed, I'd argue we are no longer a republic, a democratic republic, or a democracy.  We are a tyrannical oligarchy.  

The Democrats, that verbally hold democracy so high, are the least democratic of them all.  They actively try to destroy every vestige of democracy or a democratic republic.  They don't want the people choosing anything and they abhor the limitations put on them by the Constitution that defines the Republic.

The Republicans are also terrible, but they tend to look quite good in comparison in the same way poop looks good compared to diarrhea.  (Sorry for the grossness)