Nazism, Socialism and Communism both grew out of the same tree of collectivism to become separate branches. However at their hearts they all run counter to concepts of the rights of the individual being superior to the rights of the mob.
You can find some things somewhat in common between them, but fascism - the relevant thing, not Nazism - is very different from communism and socialism.
Your statement is overly simplistic - and whatever you're contrasting with them, let's call it 'capitalism', can do the same thing, not being ideal for 'individual rights'.
The topic of 'individual rights' versus 'mob rights' is one that the right gets wrong a lot - they aren't always mutually exclusive.
For example, 'the mob' telling a powerful monopolist that he's not allowed to have too much monopoly power for the good of society, protects the public's individual rights.
Nazism (Fascism - Craig234), Socialism and Communism have always seen each other as rivals or enemies in many examples through out history. It is mainly because they are both competing for the attention of the same misguided crowd of people that are susceptible to flock to either political ideologies.
First, let's put fascism on one 'side', and socialism and communism on the other, as they belong; communism is a much stronger ideology in the same direction as socialism.
Having done that, your comment might have a point about socalism and communism, but it's the policy differences that more pit fascism versus the others.
When the communists and fascists fought each other in Nazi Germany, it wasn't because they were competing for the same 'misguided crowd'.
It was because the fascists were pursuing power for an agenda the communists strongly opposed (as most of the world came to later).
Same way that socialists and communists from around the world went to Spain to fight Franco's fascist regime - and very sadly lost.
And again, whatever you're supporting isn't as different as you think; there were all kinds of 'capitalists' who were happy with fascism as 'easy to do business with'.
While people with more priority for human values protested fascism, some said basically, 'who cares about that, there are advantages to it for business'.
I think a lot of people have a good clue of how they are using the word "NAZI" when they use it in the context of describing an over reaching government which has little remorse at trampling over individuals and/or individual rights to appease the masses so as to further its own agenda.
Of course, some do know what it means; none come to mind who use it to attack the left.
In fact, many on the right who use the word do it attacking something as both 'Nazi' AND 'communist', because they're just throwing around words they don't understand.
While Nazism can trample individual rights, that hardly justifies using it for anything that tramples human rights. A lot of things do that.
That would be like calling every murder a 'mafia hit', because both involve someone wrongly taking a life.
Your post really didn't say much except to defend the incorrect use of the words.