Secondly, within months, we'd have the immigrants deported, a statue of Maggie in every town square, transgender people made to wear badges with their birth sex and the BBC removed from the airwaves and replaced with a perpetual loop of the Nigel Farage show.
Equally, the Good Friday Agreement signed in Ireland in 1998 is an example of where an arguably good outcome arose from holding a referendum.
Clearly, referenda aren't "bad" in their own right, but they are a tool that should be employed when the circumstances are right.
Homogeneous as in 4 different language and cultural groups? Are you sure we're talking about the same Switzerland? Not to mention tons of migrants from all over Europe and the wider world?
The real problem with direct democracy is that most people are shortsighted. Governments often need to make long term decisions, like infrastructure, combat climate change, etc. and those are simply too big to be fully appreciated and grasped by your common voter - point in case, new "green" laws to reduce CO2 emissions were recently refused by referendum in Switzerland - https://www.bbc.com/news/world-europe-57457384
Switzerland for example has elected representatives who operate in a similar manner to other countries. The difference is that when the people have an issue with something the representatives did, they can trigger a referendum on the issue.
I think it's a good tradeoff between both systems.