I would agree that the ITN framework, and perhaps the more quantitative analysis generally dominant within EA, is not so well suited to political questions. Great for assessing the value of a marginal dollar, or helping a person decide where to devote technical skills / a career, but not so much which protest to attend or even which representative to vote for.
I personally believe that many, if not most, of the world’s most pressing problems are political problems, at least in part. For that reason I consider engagement in political movements and democratic processes to be incredibly important and meaningful and I would really encourage you to do so, if it works for you. I think all the ideas you mentioned are very sensible. I also completely agree that for the vast majority of people, there isn’t a huge, or maybe any, resourcing trade off (although this particular issue does carry its own unique political costs).
That said: while I’ve always struggled with the lack of political engagement in EA, I can also understand it. Precisely because it doesn’t fit into a clean ITN or quantitative framework, I’m not sure the community/philosophy itself is well placed to respond to political matters, as a community/philosophy. EA fills an important niche, and it isn’t that, perhaps. People come with radically different priors, evidence is less clear cut in highly complex situations, and it’s hard to establish dispassionate stances.
So as a person who cares about the world: I would say absolutely you should engage in civil society, democratic processes, and politics generally, on this issue and others. I would encourage everyone to do so, even those who have different political ideologies to me. But I would not expect this community to converge on what that should look like.
Just to comment on your footnote: my intuition is that political spending can be very effective and it is an important component of my family’s donations. For anyone interested in this I really recommend Ezra Klein’s interview with Amanda Litman from Run for Something.
She speaks compellingly about how most political donations, especially on the left, are reactionary and not necessarily effective, but about how in certain races and particularly state and local races, tiny sums of money can really make a huge difference. I don’t think she explicitly uses an ITN framework but it definitely fits, and their work is in what has in recent history been a very neglected space IMO.