re: running the pump off the battery?
Sorry, didn't mean to imply you could run the AUX pump off the battery just that guys modify their machines. Heck some put turbos on their little Kubotas !
One 'Rule of thumb' is 1 HP for every GPM@1500PSI, so you'll need about 20 HP of new 'engine' to power the new AUX system. As NIW points out it's more of a 'space' problem, can you PHYSICALLY fit everything in,on the machine, the hydraulics portion of the project is the easy part !
For 'fun', grab several cardboard boxes to stand in for pump, tank,engine and see IF it's physically possible to arrange them on the machine, just remember you have to service them !. Maybe use Google to see about 'gas powered hydraulic plants'. I've used electric ones in the past to test equipment. They're 'all-in-one' units, motor,pump,tank,control valve.
'hydraulic power unit HPU' is the term to look for...
randomly found this one
CP35 Diamond Products Core Power Hydraulic Power Unit has a 35 HP Briggs-Vanguard gas engine with a maximum 17 GPM fully adjustable flow control
acecutting.com
there are 1,000s out there so google a bit, to get an idea about cost and size. While diesel powered is probably more $$ ?, no chance of 'oopsy' when refilling !!!