Your opponent's Characters lose Stealth and can't use Intercept.
Keywords
Intercept
Intercept: A selective ability activated during the attack POP that means, "If one of your other units is being attacked in the same arena, the attacking unit now attacks this unit instead." Intercept doesn't end the attack. Any number of units may intercept an attack once for each instance of the effect. Each intercepting unit has been attacked. Intercept isn’t a prevention ability. Intercept doesn’t cause a new attack. (It is the same attack.) Your unit may intercept an attack from one of your own units (but not from itself) as long as that unit can attack it. If it can't attack the intercepting unit, you can pay its activation, but the defending unit won’t change. "For this attack" effects do not trigger for each intercept. Some effects may end because they don't apply to the new defending unit unless the effect's conditions are met by the new defending unit. An effect that addresses the attack can't be played for each intercept, but could continue.
Stealth
Stealth: An isolated, static ability that means, "This unit can't be attacked unless it's tapped or has damage counters on it." An untapped and undamaged unit with Stealth can still be affected by alternative types of damage. (Such as Overkill.) As long as the unit has any number of damage counters on it, it can't use Stealth.