The DART site uses a mix of identity-first and person-first language to talk about autism.
While person-first language was long considered the most progressive way to talk about disability, in recent years in the autistic and the wider disabled community, identity-first language has become prominent. Many people have followed this same transition as part of a personal journey of acceptance – this blog post by Sonia Boué gives a lovely example of that process. There are powerful reasons to use identity-first constructions, such as “autistic person”. There’s more about this language choice at this link.
However, the quotes below illustrate the fact that not everyone feels this way – different people on the autism spectrum have widely differing opinions on autism and on the language used to describe it.