My understanding of the two is this.
'Is this person' is a question about a quality or feature of the person.
For example, is this person happy, is this person religious or is this person kind.
'Does this person' is a question of a persons preference for interests.
For example, does this person like sport, does this person drink often and does this person travel.
This is my view of it although I'm sure someone else can explain it better.