I can see why
600 watts at 13.5volts is 44amps(50 amps at 12v)
110 watts at 13.5volts is 8amps(9 amps at 12v)
So the add-ons are 52amps and you only increased stock alternator by 35amps.
You could go to bigger alternator(best choice), or smaller pulley on current alternator(which mimics higher engine RPMs).
Overdrive alternator pulleys are common now because underdrive crank pulleys are popular and you often need to increase alternator RPMs when you install an underdrive crank pulley.
You would need to measure current crank pulley diameter and alternator pulley diameter.
Most car builders spec a 1 to 3 ratio stock, so 6" crank pulley would mean a 2" alternator pulley, if engine was idling at 700rpm then alternator would be spinning at 2,100rpm.
measure your pulleys and then divide crank(6") by alternator(2") to get ratio(3) so 1 to 3, or 3 to 1
Hook volt meter up to battery terminals, start engine and check voltage, should be above 14volts, wait for battery to recharge, a few minutes, when voltage is down to 13.5 or 13.6 recharging is done and you are ready to test.
Turn on everything, lights, heater fan, radio, doors open
Battery voltage should now be down below 13.5v
Increase RPMs slowly until battery voltage is at 13.5 again, thats the RPM you need for alternator to power the system with everything on.
If that is 1,200rpm at the crank(tach) then 130amp alternator needs to be spinning at 3,600rpm to service amp draw, assuming 1 to 3 ratio.
3,600 divided by 700(target idle RPM) = 5 to 1 ratio
6" crank pulley with 5 to 1 ratio(6 divided by 5) = 1.2" pulley on alternator
Getting very small so hard for belt to grip, and then you also have the problem of maximum RPM for alternator.
At 5 to 1 ratio, engine at 4,500rpm means alternator would be spinning at 22,500rpm(4,500 x 5 = 22,500)
Not good for alternator or its bearings, you want to stay under 20,000rpm, under 17,000 is even better.
Stock 3 to 1 ratio with engine at 4,500rpm is 13,500rpm at alternator.
Get a bigger alternator, you may still need to decrease alternator pulley size(overdrive it) but not by much.
Running engine at higher RPMs increases fuel use of course, but it can also cause overheating if cooling system is even slightly out of spec, and if you are not in the vehicle at the time.......................