The difference is that Hitler had plans to invade and occupy this country and that would have had a profound influence on every person here. As far as we know, the virus has no such plans and, looking at the figures, its influence will have an effect on only a very small minority of the population.
Other than that, your analogy is spot on.
In fact, if this had been 1940 the population would not expect the government to "keep them safe" from each and every disease. They would have taken whatever precautions they thought fit but they would have "Kept Calm and Carried On" (as they did when faced with the possibility of invasion in 1940).
To illustrate further that your analogy is flawed, in 1940 everything remained open and in service. Schools, shops, pubs, restaurants, West End Clubs, theatres, cinemas all operated as normally as they could. Sporting events were curtailed mainly because the would-be participants were in the armed forces. Those events that did take place were attended by a live audience.
In fact, the situation in 1940 was precisely the opposite to today. The population did not hide itself away, the economy did not almost shut down and life went on as normally as it could (bearing in mind that most of the male population was away and that the country was being bombed almost nightly).
BTW - people who want to see the anti-Covid measures relaxed are not "deniers." They usually fully accept the virus exists.