You will see more real benefit from doing the Big 3 and you neither want nor need a cap in your situation.
In most cases with a daily driver system, any current shortfall is a transient one. Without some kind of buffer on the alt, adding a bigger alt by itself isn't going to stop transient current shortfalls or the quick voltage dips that go along with them. The battery is that buffer. The power output of the alt is dependant on RPM and demand. The output of the battery is totally dependant on demand. The alt has a short delay in response to an increase in demand the battery doesn't. Also depending on the amp it is quite possible to pull a current transient that the alt has no chance of supporting. Without a good battery to pick up the slack you're in the same boat as when you didn't have an upgraded alt.
THANK YOU for clearing that up! There are SO many people that think the first/second step is an upgraded alt, but in reality, it doesn't matter. Maybe people will stop shooting shit out of their ***** now because I hate seeing false information passed on to the masses. Just to prove you don't need an upgraded alt:
I have a 90 amp alt and a YT under the hood. Big 3 of course and 1/0 wire. Amp is an MA HK4000D being ran at .75ohms. Now, with a daily system playing music, you won't get nearly as much current draw as straight tones. I can drive around and crank the volume high with no problems and I've been doing so for the past 9 months with at least 3kw+ amps. With the YT, I can maintain my steady 12v, but with the stock battery, it can easily turn into a low 10v.
"But since you have a big amp that draws so much amperage and a puny alt, doesn't that mean your battery will eventually die?"
Do you listen to straight tones 24/7? Music is dynamic and between the bass hits, the battery will recharge. Been doing for a long time and never had a problem starting.
Let's turn this to the flipside (say I did what most people say others "should" do). Instead of getting a YT, I decided to get a 200 amp alt keeping my stock battery. 200 amps is no where near enough current to fully power my amp or any of my previous amps. So how does the amp get enough amperage if the alt cannot supply enough current? It draws the rest of the power from the battery as helotaxi said. After the amp draws the full 200 amps from the alt, it's going to draw the additional (150ish) amps from the stock battery, which is probably old and worn out, and will probably not have enough juice to keep up with the added current draw for extended amounts of time or daily driving in general.
Here's another example: snoop d-o-double-jizzle (snoopdan haha). I know he had his stock 90amp (I believe) alt for most of the season and daily drove with his Adassa for sometime. What powered it? The batteries! I'm just trying to show that you can go either way and more than likely, either way would work, it just depends on how much you wanna spend.
Keep in mind, I am talking about BIG amps here. If the OP is talking about some 1.5-2kw amp, do the Big 3, get a battery, and call it a day.