Those who advocate for the interests of Whites could also try using the machine's mechanisms against themselves, trying to slander known ideological opponents so that their environment turns against them, ideally as being a secret supporter of White interests, for example, the guy who posted pro-trump stickers on the cars of antifa members.
Going to their place of employment and getting them fired with false rumors and planted evidence, or goiong to their spouses and destroying their relationship with false accusations and manufactured "proof" of your claims.
maybe pretending to be one of your own cause's ideological opponents and then using the authority you earn within those circles to advocate for at least a few of them to go in divisive and extreme directions that ultimately hurt their own cause*
*such as advocating for radicalism and calling out those who ask for moderation as secretly being agents of the group's political opponents, or by simply making other allegations that get the group to turn on their own members, then when they start looking for troublemakers, you can work with other planted agents to turn this into the basis of a brand new set of witch hunts and purity spiraling.
stirring up an internal shitstorm of power jockeying that breaks up the unity these groups rely on to function, make everyone think they are going to be the leader because they'd be best at it, and encourage backstabbing by convincing everyone the guy above them is not using the position as effectively as they should, is abusing their position for personal benefit, or got there by "unfair" means, and should be demoted asap, and by getting the guys on the bottom to feel underappreciated or underutilized.
distract the group from doing anything effective by instead getting the individual members to focus on trivial and useless pursuits that appeal to these specific members but no one else, and these distractions are even better if they don't do anything to actually threaten the advocacy of White interests
simply recording as much secret information as possible then leaking it out to the people the group least wants to hear it
a particularly devious method for multilinguals is to go in as a trusted translator, then at a key moment in discourse, make the most damaging possible translation, as a means of destroying cooperation efforts across language barriers, a good example is the "we will bury you" incident, where an agent seeking to prolong the cold war purposely mistranslated a line from russian into english, with great effectiveness.
along those lines of ruining external trust, White advocates can get agents into a position of great responsibility, then purposefully sabotage it in the best way possible (ideally in a way that does permanent damage to the opposing group, but also gives them the ability to remain planted and trusted within the group they just undermined)
We could do a lot in our causes favor if we were to organize economic disruption as well, it can be covert and nit very loud, but the commonality of our targets or the surrounding political environment would make people likely to see us as the perpetrators, and this would translate to the businesses taking money out of speaking against us or in favor of groups that serve as our opposition.
For example, by buying items from a store that does not oppose us, and smuggling the items onto the shelves of stores that do speak against us.
By organizing not only to boycott the businesses that stand against us, but to also convince their suppliers (that they rely upon to manufacture their products) to cut ties with them.
or to create news of promotions that the businesses aren't actually running, including the printing out of fake coupon and flyers.
or, knowing that white people come out of universal hardship particularly well compared to the pox, techniques for fucking the whole system that are a little less legal, earning a lot of money, then torching the amount in excess if what you need (or otherwise devaluing them to the point of uselessness), or you can go the other way by making false units of money and distributing them to other people who try to use them as legal tender (bonus points if the monetary units are of smaller value, less likely to be checked and can be just dropped into the collection cups of beggars on the street).