First things first - is this at idle? How much sound system? Have you verified this with a DMM at the battery, instead of relying upon the gage in the IP? What year?
I ask all of these for good reasons -
1) At idle, an alternator is good for about 40% or so of max output. Ramp crankshaft speed up to 1200-1300rpm, and you can get full output.
2) If your system is a huge drain, it's going to try to soak up that 40% at idle.
3) The IP gage is known for being more of a "relative state-of-charge" indicator, than a reliable, absolute instrument.
4) Just because your moniker is "99chero" doesn't specifically mean that we're talking about a 1999 - you could have more than one rig. Also, what engine? The 4.0 often got a "larger" alternator than the 2.46L.
Repeat the tests using a DMM to verify your system voltage, and check at idle and with a helper holding 1200-1300rpm (you don't need to have the vehicle moving, you just need to have the crankshaft going a bit faster.) If increasing the crankshaft speed tends to increase the system voltage under load (it should,) then consider whether you're going to be running all that stuff at idle or not - upgrading your alternator may be the right answer to the wrong question... If you're going to be running your stereo at idle, for instance, are you likely to be running all of that lighting with it? Especially if you're running the rear defog and the blower fan (both of which tend to draw a lot of current?)