I’m assuming you have the factory Alpine? The DSR-1 has its own direct input from the Alpine. You won’t need the PAC unit in that case. However, if you wanted to use a higher end DSP (Helix, Mosconi, Brax, etc.) then you would want to use the PAC most likely with the Toslink option to feed it.
I’m personally not a fan of running subs as a 1 ohm load. To me it would just put too much strain on the amp and may cause it to run much warmer than normal. I have zero history with that Fosgate model so I could be completely wrong.