Identity politics is when your politics stem from your identity. Holding opinions that are atypical of people with your background is the cardinal sin of identity politics, as disunity saps your group of its strength.
After all, most people belong to multiple groups - one can be black, and a woman. One can be a jewish gay man, etc.
Now there is one exceptional case in which you will be denounced: If you argue that people of identity X should not have it better. They'll denounce you all the more if you're of identity X; but will still denounce you either way. Most other atypical opinions are welcome..
(again, I'm not advocating for identity politics per se)
You appear to be using property to refer to other identities. So someone who identifies as both Black and a woman would thus be a black person with with the property of woman. Of course proponents of identity politics want as many people of their identity on their side as possible, regardless of what else they may identify as, but you have to ask what being on their side means. Just saying X should have it better hides an implicit question: what does it mean for X to have it better? Many proponents of identity politics simply assume that everyone of identity X will agree on what they collectively want, but this is to assume they share the same properties A, B, and C which make them want these things.
In fact what you seem to be arguing against is stereotyping based on your identity. This is in fact a big part of what identity politics argues against, and would consider it to be a form of racism or sexism etc.
However a certain type of (usually well meaning, white) college liberal will want to "respect your background" by which they mean what they think you are like, based on various prejudices they have accumulated until then.