Can Rafale perform operations that a combination of Growlers(EW Specific) and Super Hornets(Fighter Attack) are able to?
Not exactly. It is not the same doctrine.
When US planes attacks, they do it in large COMAO. Dozens of warplanes attack multiple targets at the same time. During this attacks, growlers are here to sent a lot of noise to disturb enemie's aerial defenses.
With counter radiation missiles like Alarm, they shoot against radar system attached to ground-air battery missiles. In order to be sure that any defense system will remain silent and not try to do anything stupid... (In fact Alarm missiles destroy rarely any target but force the system to be powered off to avoid to be hit by the alarm)
The inconvenience of this system of electronic warfare, is that the attack is not discreet at all. Everyone knows that they will be hit very soon...
With Rafale, which are used by more little air force, the system is different. Each Rafale is self protected against any defense system and it is indépendant of any other overall protection system. For sure, an attack of Rafale fleet could be covered with Growler, but it will be shame because it will break the main advantage of the rafale doctrine, it's discretion.
When you attack using Rafale, the system is able to detect with a lot of precision the different zones to avoid, and with precision stand off weapon, attack the target from far.
In last case, the system will protect over any adversal fire control radar.
This is how the system designed. And it seams to works well. We have testimonies against S300, typhoon and Su35s at least. a proof of the confidence over this system when France flew over Libya some days before any other allied airplane, and before a massive attack of cruise missile from USA to destroy the aerial defense system of Libya.
with less money, France have to be more effective. And its works.