I'm not 100% clear on what you're suggesting. As I read it, you said one thing, then said the opposite. Maybe you can clear this up for me.
Consider the Electronic Frontier Foundation, who describes themselves thusly:
About EFF
The Electronic Frontier Foundation is the leading nonprofit organization defending civil liberties in the digital world. Founded in 1990, EFF champions user privacy, free expression, and innovation through impact litigation, policy analysis, grassroots activism, and technology development. We work to ensure that rights and freedoms are enhanced and protected as our use of technology grows.
Let's apply this sentence to the EFF and an example so I can understand you:
> Also any organization whose members seek to influence a political outcome cannot use the
> resources of that organization in any way to influence that outcome [list of possible ways to seek change]
The EFF is of course an organization "whose members seek to influence a political outcome". You propose that the people "must not use the resources of that organization in any way to influence that outcome". So you're proposing it should be illegal for the EFF seek to get rid of NSA dragnet spying, correct?
Dr. Martin Luther King's group was called the Southern Christian Leadership Conference. The purpose of the SCLC was to organize black churches to effect political change. That would be illegal under your proposal, because I might donate a car to SCLC, that car may not be used to drive MLK to a rally - that would be "to influence a political outcome" and therefore illegal. Do I understand you correctly?