I would do the turkey baster method several times allowing some run time after each to mix the fluid.
The mixture of the two might be OK, but it probably won't take more than a quart or two to exchange the fluid even four times.
My vehicle has the PS reservoir separate from the pump, so I just disconnect the return hose and put it into a bottle, suck out the fluid from the reservoir to just above the suction hose, completely fill the reservoir with fresh fluid, start and run for a few seconds, refill the reservoir, start and run, etc., until all the old fluid is flushed out, then reconnect the return hose.
Also you could put in a Magnefine or other filter too if the vehicle doesn't already have one.