I've made this modification and it is very worthwhile for us as we were filling up the grey tank and occasionally running out of fresh water. We've never had an issue with black. From reading here, seems grey tank capacity is the most common limiting factor especially since carrying extra fresh water is easy.
It took our family of four from 3 days / 2 nights to 5 days / 4 nights with comfort (e.g. navy showers every night, careful but not crazy about water). With care and reducing the number of showers, we can go 5-6 nights fairly easily (...as a benchmark, our grey and black tank are each 34 gal and our fresh is, I believe, 40 gal). If we have access to camp showers and use camp toilets during daylight hours, I'm not sure how long we can go--we did 10 nights with no dump last year.
But you can't be stupid when you do this. First, you want backcheck valves (I used two just in case of failure...which I would never notice) on your fresh line near the toilet to make sure your grey does not back into your fresh. Second, IMHO, you want your connection valve at the toilet...the farthest possible from any outlet that you might use for drinking. Third, when you switch from grey water flush to fresh water for the toilet, you want to flush a lot of fresh water through the valve. Might not help, but it doesn't hurt and, when combined with backcheck valves, it probably adds some security. Fourth, obviously you want a valve that blocks all flow from the grey side to the fresh side so that you're never relying entirely on the back check valves...they're just for safety. That means your only source of potential contamination is bacteria that is on the ball of the valve. You probably have more nasty bacteria on your fingers from touching the door knob at the visitor center...and your fingers aren't exposed to a chlorinated bath.
Functionally, this system is a lot easier to deal with than using a bucket filled with your old dishwater or shower water. This is true especially for kids, but I don't think my wife would be thrilled if I said, "uh, well, we're storing a five gallon bucket of grey in the shower and I'd like you to use it to flush the toilet...be careful when you flush."
Cost...I'm not sure as I had some of the parts lying around. But it should under $200. The pump would be around $80, all valves another $50-60 if you use high quality stuff, then some hoses, fittings, wiring, fuses, etc. Installing it took me the better part of an afternoon.
Some mentioned odor as a potential problem. If the trailer has been sitting for a while, then it's an issue. Typically what I'll do is put a little blue chemical or a small amount of bleach in the grey tank when I pick up the trailer from storage. That kills the odor and it's almost never a problem for the remainder of the trip. If it stinks during a trip, a little blue chemical down the sink solves the issue.
In terms of clogging the pump, I filter before the grey water toilet pump...once with an actual filter and once with a mesh screen. I've had the system for 3.5 year using the trailer an average of 45 nights/year...never a problem with the pump. But cleaning the filter is a little nasty.
If you're thinking of doing this mod, fee free to PM and I can give more details on how I set it up, how I'm pulling from the grey tank, etc. If done right, it's safe and it will dramatically increase your effective grey and fresh water capacity.