When it came to the economy and big government Hitler was definitely a socialist but was far right when it came to human rights.

Is Trump a socialist?
No hes a Nationalist, just like Hilter was.

"America first" + "make america great again" those could be slogans from hilter (if you put germany instead of america in there).

Its not so much the socialism part thats worrying its the radical Nationalism part.
That fear of outsiders ect (in trumps case illegals in the US).

Thats what hitler believed, that immigrant jews where takeing too many well paying jobs away from germans.
just like Hitler, Trump plays to the fears of the common folk, as a populist and blames things on immigrants.
Same with the economy, its the trade partners fault.... he shifts blame away, because its easier for the common folk to believe in.

It worked, he won a election doing it.

Trump is a Capitalistic Nationalist. Nothing wrong with that.

He started his career in a socialist party, so you could consider him a socialist in his early days. However, you need to bare in mind that the political landscape back then was completely different from how it is nowadays. In the 1920's, social democracy was a brand new political ideology, and people just got universal suffrage. Socialism was an answer to liberalism/libertarianism, which was an ideology that favoured the rich, while Socialist parties were mostly dedicated to the working class (which is why Hitler's party was called the National Socialist German Workers' Party).

Hitler in the 1920's was still 'one of the people', a kind of anti-establishment person. This made him a socialist, but also an anti-democratic populist. What really seperated Hitler from what we would call 'socialism' nowadays, was his strong belief in inequality. This belief was also the main reason why he became one of the worst leaders in history (the Holocaust was a very direct consequence, but also the entire war was strongly related to this belief).

TL;DR: In some regards you could call him a socialist, but in others he's the complete opposite.

The radical nationalism is what made Hitler such a monster.
You can draw certain parallels between trump and hitler.

They both blame immigrants for lack of jobs for the common folk, in order to gain popularity and win votes.
Promised to do something about all these immigrants on the behalf of the nation.

That situation with immigrant children caged and separated from mother/father... and no way of finding them again ect.
A more radical Trump would be a new hitler.

^ this.

Does Trump engage in genocide?  Has he built any concentration camps?

His economical system shared some values with socialism. State owned companies etc, but also decent social systems for Germaans and only Germans. What made Nazis so terrible was their nationalism and the fact they placed their believes and values very far above those of anyone else. To the point where anyone who disagrees was a pest and was taken care of like that. Nazi Germany is what Europe would have become if they would never stopped colonizing. While everyone likes to think their culture has never been as bad as the Nazi's they probably have during their colonial period. Its why most cultures have enslaved people and why Western Europe as prime example have converted almost every continent to Christianity to some extend and comitted genocides every so often.

Whilst they only had to point out that the differences between Western and Eastern Germany and towards the Soviet Union to point out that extreme right and left suck balls equally hard. 

Be careful with such a comparison. With the same logic someone could argue that a more radical Bernie sanders would be a new Lenin or Stalin. It's just a huge hyperbole and unhealthy for any discussion.

I don't think left and right is too simple to describe the political landscape. There are many political topics, and at each are often more than two different standpoints. And this can go different ways. For instance Hillary Clinton is pro war (oh yes, I know, pro military involvement for humanitarian reason - that's still pro war). This is a stance usually found in the political right. Still in many other topics Clinton has standpoints, which match more with the political left.

For Hitler the defining reason we remember him today was his extreme racism. The left was usually inclusive towards immigrants, both immigrant workers and local workers united against the capitalists. So in the defining point of Hitler they differ. If in other fields they may have overlapping opinions, it doesn't make Hitler a left-wing politician.