Switch to transformed based flip on kinimatic body instead of sprite based one so gun and positions offset appropriately. I wish I knew this when I started. More improvements can be done here so I don't have to update the code in every state.

Main.tscn

@@ -144,7 +144,7 @@ __meta__ = {
 }
 
 [node name="Player" parent="." instance=ExtResource( 2 )]
-position = Vector2( 81, 27 )
+position = Vector2( 136, 35 )
 
 [node name="CameraControl" type="Position2D" parent="."]
 process_priority = 1

project.godot

@@ -92,14 +92,12 @@ ui_accept={
 move_left_1={
 "deadzone": 0.5,
 "events": [ Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":16777231,"physical_scancode":0,"unicode":0,"echo":false,"script":null)
-, Object(InputEventJoypadMotion,"resource_local_to_scene":false,"resource_name":"","device":0,"axis":0,"axis_value":-1.0,"script":null)
 , Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":0,"button_index":14,"pressure":0.0,"pressed":false,"script":null)
  ]
 }
 move_right_1={
 "deadzone": 0.5,
 "events": [ Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":16777233,"physical_scancode":0,"unicode":0,"echo":false,"script":null)
-, Object(InputEventJoypadMotion,"resource_local_to_scene":false,"resource_name":"","device":0,"axis":0,"axis_value":1.0,"script":null)
 , Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":0,"button_index":15,"pressure":0.0,"pressed":false,"script":null)
  ]
 }

src/playerC/Player-KinematicBody2D.gd

@@ -1,7 +1,7 @@
 extends KinematicBody2D
 
 var velocity = Vector2(0,0)
-var direction = Vector2(0,0)
+var direction = Vector2(-1,0)
 
 export var player_number: int = 1
 
@@ -29,16 +29,22 @@ func _physics_process(delta: float) -> void:
 #	#TODO: So much hack
 #	if direction.x != 0:
 #		gun.set_scale( Vector2(direction.x,1))
-	if direction.x < 0:
-		var t = Transform2D()
-		# Translation
-		t.origin = Vector2(gun.offset_position.x * -1, gun.offset_position.y)
-		gun.transform = t
-	elif direction.x > 0:
-		var t = Transform2D()
-		# Translation
-		t.origin = Vector2(gun.offset_position.x, gun.offset_position.y)
-		gun.transform = t
+
+	# Commented out to try parent transforms instead
+#	if direction.x < 0:
+#		var t = Transform2D()
+#		# Translation
+#		t.origin = Vector2(gun.offset_position.x * -1, gun.offset_position.y)
+#		gun.transform = t
+#	elif direction.x > 0:
+#		var t = Transform2D()
+#		# Translation
+#		t.origin = Vector2(gun.offset_position.x, gun.offset_position.y)
+#		gun.transform = t
+
+	# Attempting a Kinematic2D level scale for flip operations instead.
+	#self.transform
+	#self.scale.x = -1
 
 func _process(delta: float) -> void:
 	movement_state_machine.process_frame(delta)

src/playerC/states/fall.gd

@@ -30,10 +30,12 @@ func process_physics(delta: float) -> State:
 		parent.direction.x = -1
 
 
-	if move_component.flipped_sprite == true:
-		animations.flip_h = parent.direction.x > 0
+	if move_component.flipped_sprite == false:
+		#parent.scale.x = parent.direction.x * -1
+		parent.transform.x.x = parent.direction.x * -1 # -1
 	else:
-		animations.flip_h = parent.direction.x < 0
+		#parent.scale.x = parent.direction.x
+		parent.transform.x.x = parent.direction.x # 1
 	
 	if parent.is_on_floor():
 		if parent.velocity.x == 0:

src/playerC/states/idle.gd

@@ -1,5 +1,7 @@
 extends State
 
+var debugTimeTracker := 0.0
+
 export (NodePath) var jump_node
 export (NodePath) var fall_node
 export (NodePath) var move_node
@@ -35,6 +37,11 @@ func process_input(_event: InputEvent) -> State:
 	return null
 
 func process_physics(delta: float) -> State:
+	debugTimeTracker += delta
+	if debugTimeTracker > 2:
+		debugTimeTracker = 0.0
+		print("DEBUG TRANSFORM:", parent.transform)
+
 	parent.velocity.y += gravity * delta
 	#parent.velocity = parent.move_and_slide(parent.velocity, Vector2(0, -1))
 	parent.velocity.x = move_component.desired_movement_vector.x * move_speed

src/playerC/states/jump.gd

@@ -34,10 +34,12 @@ func process_physics(delta: float) -> State:
 	elif parent.velocity.x < 0:
 		parent.direction.x = -1
 
-	if move_component.flipped_sprite == true:
-		animations.flip_h = parent.direction.x > 0
+	if move_component.flipped_sprite == false:
+		#parent.scale.x = parent.direction.x * -1
+		parent.transform.x.x = parent.direction.x * -1 # -1
 	else:
-		animations.flip_h = parent.direction.x < 0
+		#parent.scale.x = parent.direction.x
+		parent.transform.x.x = parent.direction.x # 1
 	
 	if parent.is_on_floor():
 		if parent.velocity.x == 0:

src/playerC/states/move.gd

@@ -1,5 +1,7 @@
 extends State
 
+var debugTimeTracker := 0.0
+
 export (NodePath) var jump_node
 export (NodePath) var fall_node
 export (NodePath) var idle_node
@@ -22,6 +24,10 @@ func process_input(_event: InputEvent) -> State:
 func process_physics(delta: float) -> State:
 #	if move_component.wants_jump() and parent.is_on_floor():
 #		return jump_state
+	debugTimeTracker += delta
+	if debugTimeTracker > 2:
+		debugTimeTracker = 0.0
+		print("DEBUG TRANSFORM:", parent.transform)
 
 	parent.velocity.y += gravity * delta
 
@@ -46,10 +52,19 @@ func process_physics(delta: float) -> State:
 			parent.direction.x = -1
 	
 
-	if move_component.flipped_sprite == true:
-		animations.flip_h = parent.direction.x > 0
+#	if move_component.flipped_sprite == true:
+#		animations.flip_h = parent.direction.x > 0
+#	else:
+#		animations.flip_h = parent.direction.x < 0
+	# Attempting to flip based on scale instead of sprite flip so that
+	# all children nodes get flipped as well:
+	if move_component.flipped_sprite == false:
+		#parent.scale.x = parent.direction.x * -1
+		parent.transform.x.x = parent.direction.x * -1 # -1
 	else:
-		animations.flip_h = parent.direction.x < 0
+		#parent.scale.x = parent.direction.x
+		parent.transform.x.x = parent.direction.x # 1
+	
 
 
 	# Another approach of changing state based on actual achieved velocity