Is that yellow top paired with a starter batt? That should hold up fine btw I was running 1500 off 130A and stock starter with the big 3 and my voltage drop at idle was like 13.8 to 13.7
SO: 2000/13.8(idle)=144.9 Amps Include the rest of the cars functions....I think you are fine, some stress on the alt. if you want to stay safe then upgrade to like 200amp or suttin.