I never call them anything else BUT “the DemocRAT” party.
This is not very FReepish of me, but once I found out that flesh-and-blood Democrats felt insulted by the phrase "the Democrat party," I now make sure to say "the Democratic party."
Showing respect is good in general, and certainly appropriate to show to those who happen to belong to another political party.
Limits: I won't bend to a demand for political correctness. I do not afford respect to those many individuals on the left who commit treason in effect or recklessly malign holders of high office with whom they do not agree.