Nazi's abolished strike's etc., something that communists were in favour of (true marxism not stalinism, maoism etc.).

You forgot Leninism. Lenin strictly forbade strikes as well. Also, Maoism and Stalinism aren't considered right wing.

nazism is in favour of private property, communism seeks to abolish it, it also pushes for a distinct class structure, communism seeks to abolish it.

In practice, however, "private" property was controlled by the government. For example, future plant construction for big business was decided by the government, and all profits were invested automatically into areas the GOVERNMENT chose, rather than the owner. In essence, this was no different from the Soviet model seeing as how both systems had the state exercising rights of ownership.

it also pushes for a distinct class structure, communism seeks to abolish it.

Stalinism, on the other hand, does not. The "Communist" states had some of the largest wealth gaps in the world, where members of the Communist party were feasting whilst the peasants were starving. Nazism, at least, doesn't abolish the middle class.

Nazism also creates a social structure based one race dominating others, communism seeks to abolish all nationality, religion, race to create state unity free from discrimination.

True. But that's the main difference. Nazism is National Socialism, Communism is international socialism.

The nazi's hated capitalism because it was viewed as a "jewish puppet", communists hate it because it creates social inequality

That's also the reason why they hated Communism, as Karl Marx was Jewish. But "jewish influence" was only ONE of the reasons why they hated both systems. The Nazis also hated Capitalism it because it puts profit and self interest first rather than "The Volk"'s welfare. Laws, such as economic planning, state control of finance and welfare programs were set up rather than total nationalization.

You claimed the Nazis supported the principle of private property.
I pointed out that the government controlled the means of production..

You claimed the Nazis only hated Capitalism because it was "jewish".
I pointed out that that's also why they hated Communism, as well as the fact that the principles of private enterprise were opposed to Nazi practice.

Not all your points were wrong per se, you were just letting out facts and not others, making them seem more different from the Soviets than they really were.

The Soviets wanted to distance themselves from the Nazis, so they declared National Socialism to be right wing. The Nazis hated communists and Social Democrats the same way the Social Democrats hated Communists and Nazis: They were all competing for power.

Both supported the planned economy (where government controls production, distribution, prices and trade).

Both supported centralization (in American terms, the federal government taking controlling and removing state governments' power).

Both attacked Religion. Hitler on many occasions claimed to be pro-christian in public, but in private he was known to make very conflicting statements. Nazi Policy towards religion created a huge amount of Christian opposition the same way it had done in the Soviet Union.

The Nazis supported Euthanasia, legalized abortion for non-aryan women, and made the physical health of German citizens a government matter (kinda like today's leftists).

While that is probably true, it seems perfectly compatible with the Nazi Party's left wing policies such as animal welfare and environmental protection.

environmentalism is not a true communist or socialist platform.
environmental parties do no even fit on the political spectrum
examples would be the green parties of Germany, New Zealand and Canada

Socialism is left-wing both economically and socially.

Lol whut. Socialism is an ECONOMIC philosophy. You can get liberal socialism, conservative socialism, marxist socialism... Even Arab socialism, which is socialist in the economic sense but very socially conservative.

As for the left-wing politics he did in fact pursue; they led to millions of jobs being created and the revival of the worst economy hit by the post-war depression.

Not exactly. Women and minorities weren't counted, and the massive unprofitable public works programs helped to push the country further into debt. Hitler's massive military spending created many jobs, but they would only have been sustained if the new military ended up being put to work. Quite a few historians have suggested that if Germany hadn't gone to war, its economy would have crashed horribly.

his left-wing policies created jobs and created a booming economy.

Big businesses, like IGF, Krupp and Degussa were allowed to remain in private hands so long as they followed government directives (which weren't always profitable). Any private company unable to meed orders were nationalized, but the executives would not be prosecuted unless they refused to obey. Hugo Junkers is a good example. In order to keep profits up, many industrialists used slave labour in order to keep up with the planned economy, rather than lose their business. Both Stalin and Hitler used slave labour to benefit their economy, but I wouldn't exactly called that "successful".

Plain and simple, the nazi's right-wing policies caused the Holocaust

And which "right wing" policies were these? Euthanasia? Anti-Zionism? Soviet-style deportation? I betcha most of the policies that created the Holocaust could be found in most Communist states as well.