As others have pointed out, she means something specific.
“Our democracy” means HER democracy. Her control of government. She and her friends own the US government, they control it and they manipulate elections as they see fit. It all belongs to them and they do not want to lose “their democracy”. So We The People need to be crushed because We are a threat to Them and their democracy.
You are correct that the term “our democracy” means something specific, the use of the possessive case first person plural pronoun indicates something which belongs to a group, which raises the question, “to what group does this refer?”
Surely not to deplorables. Nor to dirt people. Nor to insurrectionists. To listen to some of the more forthcoming members of the January 6 “committee”, not even to Republicans.
As George Carlin memorably said, “It’s a big club, and you ain’t in it”.
THEIR democracy is an evil control mechanism from the pits of Hell. Never forget it.