Given how many people actually don't even bother to vote, I doubt voter suppression is the problem. It seems like an issue of implementation and limitation of the current political system. In contrast, "voter" turnout by consumers is 100%. Every product you buy is a vote you cast.
With regards to tracing the origins of a product: you're trying to fix a problem that's even worse with government. If you're so concerned that you aren't able to identify the origins of a product with 100% certainty, then we ought to compare it with the baseline: what is the trust factor with government? At any rate, the traceability of a product can get as accurate as you want it to be... so long as you pay enough money to establish it. If you want, you can be flown to every part of the world and you can personally ensure that every fiber of your clothes is not coming from a sweatshop. Of course, that would be insanely expensive, but it is possible. 99.99999999999% of consumers don't want that much transparency.
It's also overly reductive and ignores things like voter suppression, extralegal affairs and abusing the court system.
For your second argument, you seemed to ignore my original point which is that it's generally impossible to actually establish the origin of said clothing due to the complex supply chain behind the scenes. Even if it's a trusted third party, that clothing is still being delivered via companies that deliver sweatshop clothing and sold in stores which sell sweatshop clothing. At a certain point some percentage of what you pay will go to support said sweatshops whether directly or indirectly, so how can you expect a consumer to operate in a full moralistic behavior when all of their actions are losses? At that point the only winning move is to not play, which is also not possible because, well, Capitalism.