From Nazi.Org and a Video on Oswald Mosley

what is exactly free market anti-capitalism?

I am opposed to traditional democratic capitalism, with its regulations, subsidies, favoritism, special rulings in the courts, government contracts etc. In the 19th century into the 21st governments have used various neo-mercantalist policies to interfere with freedom of trade and the distribution of resources; in ways that systemically favor special interest groups. These interest groups in turn promote democratic politics and interventionist theories. Gabriel Kolko, among others, has elaborately detailed the incenstuous relationship between regulation-protected cartels, big labour, international banksters and democratic governments.
I am free market in the sense of the classical liberalls such as J.S. Mill or Turgot; I believe in real free trade (not protectionist NAFTA), real laissez-faire (rather than corrupt syndicalism) and personal responsibility (rather than faceless institutions who face no consequences).

transhumanism?

The theory of the development of human beings by science and culture into the point where they are beyond human beings. Consider it a combination of advanced technology and Nietzschean elements, as well as messianic theories such as 'New Socialist Man' or 'New Aryan Man'. Basically, it is a belief that through rational effort, paying attention to real circumstances and logic, human beings can be further developed to a point as far 'beyond' present mankind as men are 'beyond' the apes.

strong immigration policy would probably mean strong restriction on immigration?

Yes, at least that is part of it. Immigration policy should also be rational, it should be based around using rubrics for admittance that involve cultural, intellectual and economic sustainability of the immigrant. Likewise, the different federal units should have their own sub-national rulings on immigration and citizenship - the central state should not be able to 'grant' citizenship, it should purely be a matter decided by the autonomous communities.

And what do you think of the law in the United States that allows babies who are born here to become LEGAL citizens no matter what the status is of their unlawful immigrant parents?

A person shouldn't be allowed to be a citizen unless they are willing and able to work within the framework of the national character and to provide for themselves. A person shouldn't even be allowed into the country unless there exists a citizen who is willing to vouch for them.

They do these things in order to rig the democratic machinery so the real citizens wont turn them out of office.

Interesting thought. I read on the Integralist Party's website that they believe that citienship must be earned even by the native born.  Personally I think that the native born at least deserve the immunities of citizenship (Bill of Rights).

I believe there is a prima facie case that native-born people are presumed to have done so unless they have demonstrated otherwise, and although positive benefits should be based on positive performances of duty they nonetheless should enjoy presumed immunities and liberties under the law until they do something which revokes them.

Non-citizens, such as foreign persons, ought to be treated with respect by the authorities so long as they do not do anything wrong, and ought to be presumed to have general liberties insofar as their conduct is spoken for by a citizen of the nation.