To clarify, I'm not talking about "your identity" here as in the information about what you consider your identity, but rather the referent of that identity.

Ah, it appears we're talking about different things. I'm referring to ideological identity ("I'm a rationalist" , "I'm a libertarian", "I'm pro-choice", "I'm an activist" ), which I think is distinct from "I'm my mind" identity. In particular, you can be primed psychologically and emotionally by the former more than the latter.