The only people that Jesus seemed to exclude were precisely those who refused to know they were ordinary sinners like everyone else. The only thing he excluded was exclusion itself.
Explains Matt15:26-27 and Mark 7:27-28. Canaanite woman seeking healing for her daughter. Also Matt 8:5, the centurion.
these "outsiders" sought healing for those they loved, though their faith in Christ. Jesus saw and heard their inclusion.
