Down syndrome (DS) research is advancing rapidly, yet efforts have raised ethical questions. This mixed methods study describes views of people with DS (self-advocates) and their parents regarding medical interventions for DS. Responses from 35/171 (20.5%) self-advocates and 430/867 (49.6%) parents showed the majority of self-advocates were glad they have DS (27/35; 77.1%) and liked who they are (33/35; 94.3%), but did want to learn faster (23/35; 65.7%). Parents much more commonly agreed with a willingness to give medications to prevent Alzheimer's disease (427/429; 99.5%) or blood cancer (428/430; 99.5%) as compared with a medicine to cure DS (225/425; 52.9%). Qualitative comments intertwined DS with identity, yet indicated desire for improved quality of life and opportunities. Responses decoupled DS itself from the complications of DS, with treatment of complications being more acceptable.