How do you think scientists or science journalism should present the fact, that even small amounts of alcohol are detrimental to your health, to the general public?

Before we get too deep, is the intent to present the facts, or to guide behaviour? I always took it was the latter, but you could be right that it is the former. In which case, whatever we're doing is fine. The facts are out there. If people want to laugh at the facts, so be it.

Facts don't guide behaviour, though. Human behaviour is guided by emulation of those envied in society. More simply, whatever a rich person does, the general public will soon try to copy them. And, indeed, alcohol has shown be to central to fortunes. That data shows a higher rate of alcohol use amongst those who are considered rich. In fact, some studies suggest that fortunes are built on the social connections greased by the lowering of inhibitions caused by alcohol.

If the intent is to guide behaviour, scientists can develop something to see fortunes more likely to end up in the hands of the teetotallers. If sipping water in their mother's basement and not getting completely blasted at the Kentucky Derby was what rich people did, attitudes would change pretty quickly.

Of course, the data also shows a higher rate of alcohol use amongst those who succeed in academia ([1] i.e. the scientists themselves) ([2] something also correlated with being wealthier), so it may not be something they have an interest in.