Are there examples of movements that intentionally restrict their set of positions?

I'm thinking perhaps of groups that want to distance themselves from a less popular group, even when that group would support the more popular group; e.g. advocates for a single-payer health care system in the US might try to avoid making too many general claims in order to not appear socialist.

Also: I realize this is separate from what you're analyzing, but it seems clear that these claims mostly serve to prepare the audience for an upcoming critique, and fend off certain negative responses and misidentification that can easily be triggered by criticism. So in Scott's post, you see a few sections of overt (over-the-top?) support for in-group positions on different issues, even when those issues aren't (logically) very related to his main point.