Constitutional democracies exist for this reason. But typically when people talk about "majority violating rights of minority", people generally mean "mass of people taking away everything from the rich".
Look, even America, as a constitutional republic, took the rights away from millions of blacks for a long time. The Constitution at its inception did not save them.
I really believe the rich have scared people about democracy, because really democracy scares them. Don't let it scare you.
> mass of people taking away everything from the rich
Honestly, I don't think they do. Moreso than anything, I think they're hearkening back to when slavery was legal, women couldn't vote, and it was perfectly acceptable to assault gays in nightclubs.
It's only as those minority groups gain acceptance that they start generating sympathy, really, but while gays are more and more getting acceptance in their fight for marriage equality, polygamists are still a lesser known, smaller minority, and their rights are routinely trampled, despite that all the arguments applying to same sex marriage are equally applicable to them.
As it sits, 51% of the democratic party approves of some form of censorship, so it's not too hard to imagine being in a gerrymandered district in which DemocracyOS is prevalent, and losing the ability to freely exercise your first amendment rights.
That said, this problem isn't unique to DemocracyOS, as we've always had people who hate the rights of others, and even managed to pass the 18th amendment as a result.
The biggest problem with direct democracy is in educating people about the Constitution. We have long, embattled conflicts between Constitutional scholars on whether X aligns with the Constitution, and the "will of the people", absent that knowledge, may serve to exacerbate the issue.
Look, even America, as a constitutional republic, took the rights away from millions of blacks for a long time. The Constitution at its inception did not save them.
I really believe the rich have scared people about democracy, because really democracy scares them. Don't let it scare you.