The Shintao Monk and Henshin Mystic grant "Monk Abilities", it does not stack per Gestalt (you would either get Monk Abilities or Monk Abilities), although all of the remaining class features would be granted.
War Chanter does not grant Bard Abilities, and they do not give the same benefits. They are different abilities. You would acquire both.
In D&D a ECL 20 character who takes 10/Cleric 10 turns at level 17. The two abilities are awarded in two separate classes, serve as the same ability, and stack for purposes of leveling.
In your system of Gestalt I can create a Paladin/Cleric 10 who turns at level 17. They would have the better of the choice for Turn checks, and a high enough Turn to cause problems...
Now per your reading of what I presented this cannot occur... But it is legal within the RAW for a singleton class.... And if it works in the singleton it would stack in Gestalt. Exact same ability placed at different levels...
Just like my suggestions for the two monks.
But go on...
Slainte,
-Loonook.