I have conducted a major rewrite. As suggested, I have retained primary and self-published sources where the statements therein have been commented on by reliable secondary sources. Of all the WP:RS on this page, a grand total of two had something positive to say about LaRouche. It's noteworthy that neither of these comes from the USA, where people actually know who and what LaRouche is, but still, rules are rules.

These are self published sources, which violate 3 of the 5 rules for self-published sources, as set out in WP:V
netda.ru
thebruinstandard.com
http://www.youtube.com/watch?v=q9pDY_ny6Qo (wearechange.org)
http://justiceforjeremiah.com/larouche_network_canada.html
www.ex-iwp.org
www.schillerinstitute.org
Note that three of these sources are unfavourable to LaRouche. The rest are from his self-published magazine or from LaRouche-oriented websites. And frankly removing some of them serves to help LaRouche's image, because what he says is so ridiculous.
These sources I removed, but I'm just not sure whether they constitute RS secondary sources or not
km.ru
www.aawsat.com
zvezda
http://www.rediff.com/money/2003/may/26larouche.htm
I wonder if someone in a better position could shed some light on that.