Referendums are calling propositions in the US and are voted on at the state level. Special interests pay tens or hundreds of millions of dollars for deceptive TV ads for or against propositions. The messages tend to be very dumbed down because the average person is too stupid to vote for anything beyond a simple slogan.
Direct democracy leads to a lot of idiot things getting done. Representative democracy was better for a while, but you still get Nazis coming to power from time to time.
Churchill had it about right:
Many forms of Government have been tried, and will be tried in this world of sin and woe. No one pretends that democracy is perfect or all-wise. Indeed it has been said that democracy is the worst form of Government except for all those other forms that have been tried from time to time.…’
How often in US democracy does the person with the most votes lose? Even just on the national level, there are several hundreds of people elected every other year.
If you mean the Presidential election, it has only happened 5 times in 200 years.