Hi,
The J79 acceleration is completely controlled by the Main Fuel Control on the engine. It has an internal scheduling and governing system that can't be influenced by aircraft mounted controls. As it stands the HB engine acceleration modelling is too fast. I've attached the engine burst acceleration chart for the -15 (C/D) which shows a 4.5 second accel time from idle to Mil. I can't find the -17/-19 chart but I'll keep looking.
In the meantime, here is another YouTube video of a TF-104G (J79-GE-11 which is essentially the same as a -15) and you can see the burst check does take a good 4.5 to 5 seconds from idle to Mil. As soon as I can find some -17/-19 information, I'll post it here.
Cheers,
John