I have a Google doc (so I can fiddle with it wherever I am) with lots of fragments on the subject of toxic infectious memes, including how not to come across as the subject of one. This includes how to actually sell someone on an idea without coming across as a droning crank. Snippets below:

Precis: pull, not push. You have to be interesting and lure them in. Then they'll do the work to close the gap themselves. You cannot inflict it on them, it just doesn't work like that.

If you need to change someone else's mind, you need to actually sell the idea. And this always has to be done with a pull, not a push - attract them to your idea. This is not quick, but push just doesn't convince.

Note that you won't find their true rejection by bluntly asking, as they will detect "sales!" and go defensive, which is quite rational.

(I am awful at selling things for money, but try to sell people on ideas more or less every second I'm writing or talking. How am I doing on this one?)

Some people have an immediate "ugh" reaction to the idea of selling anything in any way, but there are plenty of white-hat means to do so, e.g. 1 2. There is danger of dark arts here, but keep an eye on your moral compass and you'll be fine.

To herd cats, first work out the local value of tuna. (This is my law of volunteer motivation, but it certainly applies here. There is danger of dark arts when you apply this to selling an idea; watch moral compass more closely.)

It's important to distinguish between the goal of communicating with others in ways that feel natural (e.g., without constantly having to back up and fill over inferential gaps), vs. the goal of sharing with others the Good News about rationality.

I think you are talking about the latter, though I'm not 100% sure.

The best way I know of to do that is not to talk about rationality at all... indeed, not to talk about cognition at all. Rather, I talk with people about specific things in the world they consider worth talking about, and I share my thinking about those things with them.

If my thinking about that subject is clear and cogent and well-grounded in observable reality and statistical reasoning, and if it leads me to useful conclusions, then I am demonstrating the usefulness of such thinking; consistently demonstrated usefulness has a way of compelling people, especially if I don't appear to be trying to convince them of anything.

Conversely, if my thinking about that subject is incoherent or grounded in ideology or doesn't lead to useful conclusions, then I'm unlikely to be much help (though the conversation might still be useful, for example, if it leads me to a clearer understanding).

Also, you might consider separating your "proposal" into two sections, one of which is labeled "introduction" or "background." As it is, much of your proposal isn't actually a proposal.

You have some formatting issues.

The "holding off on proposing solutions" example made me imagine a scenario:

You're going to a meeting to address some problem x, and you have enough authority so that you can say something at the start and have people listen to you. So you say "To start off, can we take a minute just to talk about problem x, and not about what to do about x? I just want to be sure that we're all clear about what the problem is before we get caught up in a discussion of particular solutions to it." Then hopefully the meeting goes well - the group holds off on proposing solutions and eventually comes to a good solution.

And that's it, for the time. You've given people a taste of rationality that you can build on. They didn't care about rationality, they cared about problem x, but you showed them that a certain way of thinking and doing things helped them deal with problem x.

You can build on that. For instance, maybe after the meeting you're talking with someone who was there about the fact that the meeting went well, and you could give them a little more detail about what you did: "Once people start talking about possible solutions, they get locked into their first suggestions and they have trouble thinking about the problem creatively and coming up with other solutions." Or maybe there will be another meeting where you suggest holding off on proposing solutions, and you could say a little something more about it then. After a couple more cases where one of your rationality tools has been useful, people may notice a pattern and comment on it, and you could say something more general about rationality, like "There's actually a whole field of study that looks at people's thinking, trying to figure out what people can do to come up with good ideas and avoid making mistakes. I've just read a little bit about what they've found and picked up a few tricks." If you find someone who is interested and asks you questions, then you could go into more detail and give them a more thorough explanation of some rationality topic, or explain some of the fundamentals of rationality, or refer them to this blog.

The general principles from this example: Bring up rationality topics when they're relevant. Be brief. Keep the focus mostly on the issue that people actually care about, not on the meta-level of rationality. Show that rationality works (helps people do things they care about). Don't worry if your explanation is very limited or imperfect. You can build your message over time, through multiple conversations which incorporate bits of rationality. You can have a more in depth conversation about rationality if someone becomes interested enough.