Nope it will not run off the saw. The DC uses a 2HP motor and because of high start up currents (~40A at 120V) you will < 3kVA generator to start it.
It sounds like all you are worried about are the chips, if so then the DC filtration system just blocks air flow so I would ditch the bags and bag housing and just attach the impeller direct to a large bin, maybe on wheels.
I have done extensive testing on a range of wood dust extractors and in particular that dust extractor.
The claimed 1550 CFM is bollocks. This value is based on a single measurement in the middle of the flow of the naked impeller only. It does not take into account wall friction and (dust filter bags - which I would remove) and the 4" ducting so the flow rate is more like 550 cfm.
The grille in front of the impeller also robs about 15% of the air flow so the first thing to do would be to remove that
A significant greater flow can be obtained using 6" ducting but this requires throwing away the 4" adapter ports at the from and replacing this with 6" ducting like this.
View attachment 402360
All this will double the flow to ~ 1000 cfm
The impeller could also be flipped 180º to have the opening underneath.
FWIW When I modified the muffler on my 880 I noticed I no longer was walking over piles of sawdust. The muffler exits immediately below the point the sawdust does and this blows the sawdust way from the operator