The purpose of differentiating things is to provide a measured placement for respect of the different needs that different things have. The reason, for example, that a parent with four children does not equate all of those children as one child is that each of those children requires their own clothes, food selections, nutritional considerations based on their own age and health particulars, and so forth. See? Differentiations between things allow for specific considerations and the establishment, collectively, of methodologies to serve the actual specific needs of those things, without upsetting or upending the structures of other things to whom those needs are not relevant. If all the children were treated the same, and one of them was diabetic, either the other three would be forced to receive unnecessary-for-them interventions or the other would suffer for lack of their own medical needs being met.
When a minority group — say, a religious group — is seeking differentiation from another group (whether another larger category of spiritual considerations, or a social force perhaps affiliated with rights and justice work), it is best to understand this not as a rejection of that group but instead as an expression of mutual and shared respect for the individual needs of each, and a desire to see those needs met and satisfied in an efficient manner which honors each respective identity or state. Once these distinctions are honored, differentiated identity groups can work together or toward mutually beneficial (or at least non-hostile or competitive) ends, as their efforts can be put into satisfying needs rather than fighting over resources inaccurately perceived as finite and scarce.
Differentiations are cool.