What the left really means by "our democracy" is that you must conform to their unchallenged ideology of leftism. This is nothing more than Orwellian doublespeak designed to shame you into surrendering your free speech and individual rights. Once they've convinced you that democracy is a concept they are benevolently sharing with you, you're no longer able to recognize the tyranny of leftism and have become part of their collective.
So yeah, fuck their "democracy." Liberals are the most undemocratic hypocrites on this planet. They will never hesitate to use lofty ideals like Democracy, patriotism, or even religion, in order to force you to be subservient to their vile ideology.