Increasing two different servo PWM's with different delay's

long StepperAinterval = 60000; // 60 seconds break time between MINUTE movements          
long StepperBinterval = 360000; // 6 minute break time between HOUR movements

These should be:

long StepperAinterval = 60000UL; // 60 seconds break time between MINUTE movements          
long StepperBinterval = 360000UL; // 6 minute break time between HOUR movements
 MinuteHand.attach(MinuteHandPin);  //Connects servo to relevent pin 
 HourHand.attach(HourHandPin);

Good names. It is very easy to see what you are doing.

 // SET BOTH SERVOS TO 'MIDNIGHT'
 
 MinuteHand.writeMicroseconds(1600);  /// SET to 12.00
 HourHand.writeMicroseconds(1600);  /// SET to 12.00

I'm not a fan of magic numbers. I'd do something like this:

 // Set initial position for servos
#define MIDNITE 1600
 // SET BOTH SERVOS TO 'MIDNIGHT'
 
 MinuteHand.writeMicroseconds(MIDNITE);  /// SET to 12.00
 HourHand.writeMicroseconds(MIDNITE);  /// SET to 12.00

That way, if you need to change the value (to 1601 or 1599, for instance), you only need to do it in one place.

if ( mode == 0 && digitalRead (setupAswitch) == LOW){ mode = 1;}
if ( mode == 0 && digitalRead (setupBswitch) == LOW){ mode = 2;}
if ( mode == 0 && digitalRead (setupCswitch) == LOW){ mode = 3;}
if ( mode == 0 && digitalRead (setupDswitch) == LOW){ mode = 4;}
if ( mode == 0 && digitalRead (setupEswitch) == LOW){ mode = 5;}
if ( mode == 0 && digitalRead (setupFswitch) == LOW){ mode = 6;}

Using a nested if test would be better:

if(mode == 0)
{
   if (digitalRead (setupAswitch) == LOW){ mode = 1;}
   if (digitalRead (setupBswitch) == LOW){ mode = 2;}
   if (digitalRead (setupCswitch) == LOW){ mode = 3;}
   if (digitalRead (setupDswitch) == LOW){ mode = 4;}
   if (digitalRead (setupEswitch) == LOW){ mode = 5;}
   if (digitalRead (setupFswitch) == LOW){ mode = 6;}
}
if ( mode == 0 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 1 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 2 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 3 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 4 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 5 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 6 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all
if ( mode == 7 && digitalRead (ResetSwitch) == LOW){ mode = 9;} //reset all

Again, a little restructuring here leads to more readable code:

if(digitalRead (ResetSwitch) == LOW)
{
   if(mode > 0 && mode <= 7)
   {
      mode = 9;
   }
}

(and a lot less of it...)

I don't see how cases 2 through 6 differ from each other. Can you point out what I missed?