With 1900 W (peak), I would think that normal daily usuage would add about 115 amps draw (that's about 75% peak power/volume). You also have to consider the stock electrical system. The stock alternator (105 amps) is designed with some give. So even with every stock electronic on (lights, windshield heater/wipers, AC, etc) the stock electrical is drawing about 60 amps. The stock alternator is probalby providing that (or near that) at idle....SO...this system needs about 160-175 amps total.
A HO Alternator, rated anywhere from 160-220 amps, will help keep the battery charged and the electrical system balanced. Even with a HO Alt and a fully charged battery, you may see your lights dim. Every car is different so some people may claim their vehicle doesn't. IF YOURS DOES, then a cap will help. As mentioned above, a cap can provide quick bursts of power, where an alt or battery can not provide as quick and large amount of power (typicall during bass tones, even quick ones. Also keep in mind that there is distance involved...the battery and alt are under the hood, where the cap is near the amp. The downfall to a typical cap is that they don't re-charge fast enough. Look around for new types of caps that have about 1/6th the charging time of a normal 1 farad cap.
There are some manufactures of HO alts out there, including re-winders/rebuilders that don't completely offer a high output alternator. What I mean by that is that they re-wind the alternator for more output. Yes, this does help the overall output, but typically the RPM needs to be increased as well. So, again as mentioned above, some HO alts do not put out as much at idle as stock atlernators. There are other parts in an alternator that should be upgraded to provide higher output at idle...again, some HO mfgs and re-winders/rebuilders do not do this.