What is not possible is to define words in a certain (weird) way and then to infer from that what people are really thinking when they say democracy.Agreed. People don't automatically follow your definitions. I'm not arguing that.
“Progressives” do not mean mob rule or majority rule when they say democracy.
They definitely do mean majority rule. Absolutely. What is democracy, if not majority rule?
You are just completely and utterly wrong, with a worldview clouded by ideological delusions.
You can't logically criticize my entire "worldview" based on how I think we ought to define the words "democracy" and "constitutional republic," and whether or not the definitions of words actually matter.
(It really is an aside, but all progressives I know are strongly in favor of strong constitutional protections of rights that cannot be overridden by any majority, they are strongly in favor of a separation of powers and due process. When they say they want more democracy they most certainly don’t mean that they want to make it easier to abolish constitutional rights. You are attacking the most complete strawman ever.)
Given that you use British Empire-style perjoratives (which are, by the way, rather harsh to my American ears), I don't think we're talking about the same thing by "progressives," because you're describing them incorrectly. According to Wikipedia, some parties in Europe have been using it to mean something different.
When they say they want more democracy they most certainly don’t mean that they want to make it easier to abolish constitutional rights.
The #1 hot progressive cause in America right now is gun control, which (in totality) requires abolishing the Second Amendment to the Constitution. Progressives also had to change the Constitution to permit income tax, which previously was a constitutional protection. So, you see, you're just wrong. These are seen as "democratic" reforms, by the way.