I agree.What size impact are you using? If a decent 1/2" (so, not one of those that comes in a generic air compressor starter kit) with a 3/8" adapter isn't taking it off, I'd head to the dealer. Yes, you can do all sorts of crazy things to add leverage, but paying the dealer one time isn't likely to break the bank, and is less likely to end with broken tools, stripped bolts, and flying metal.
I seem to recall another member posting recently that they actually stripped the threads on their CRV.
This is one of those... take it to the dealer this time around and have the differential serviced moments. Honda drive systems are pretty complex yet elegant these days.. and messing up one thing could result in compounding issues. Better to let a dealer mess something up and have to correct it than you. Think of it as money well spent as insurance against a major damage event to the differential.