Maybe they chose Jeb Stuart by his work in The Fugitive with Ford. It seems that most of the writers have been approached by their past projects with Lucas / Spielberg / Ford.
Kasdan: Continental Divide / Star Wars
Huyck-Katz: American Graffiti
Columbus: Gremlins etc
Menno Meyjes: Empire of the sun
Jeffrey Boam: Innerspace
Jeb Stuart: The Fugitive
Darabont: Young Indiana Jones / Saving Private Ryan
Nathanson: Catch Me if you can / The Terminal
Koepp: Jurassic Park etc
Kasdan: Continental Divide / Star Wars
Huyck-Katz: American Graffiti
Columbus: Gremlins etc
Menno Meyjes: Empire of the sun
Jeffrey Boam: Innerspace
Jeb Stuart: The Fugitive
Darabont: Young Indiana Jones / Saving Private Ryan
Nathanson: Catch Me if you can / The Terminal
Koepp: Jurassic Park etc