Hi grumpymike, I am glad to report all the i2c slaves are still alive despite my underinformed experiments 
Thanks for the explanations, various. So as I am now understanding it, correct me if I am still confused, if I have N power supplies (like 2 duinos and maybe a breadboard supply) feeding a multi device project, I should connect all their grounds together but NOT their +5 (or + anything). OK. will remember that.
in principle, is it better/wiser to have just one hefty P/S powering everything including the duinos?
I am not sure what CrossRoads meant by "at the end of the chain of connected devices" because afaik the i2c bus is not a daisy chain but a party line; I have all my i2c devices connected to one pair of rails on my breadboard.
given this setup, is it still true that the pullup resistors should be at one end of the rail rather than in the middle? I will assume so and put them at the far end of the rail.
I read someplace (the text was too technical and mostly went over my head so I may have misunderstood it) that i2c-equipped devices sometimes already have internal pullup resistors, and that some people disable these when stringing a lot of devices together, so as to have just one pair of pullups on the bus. I hope this is not really required, as I would find it pretty nerve-wracking to start cutting traces on my duinos etc.
RESULTS: if the offending 7seg LED i2c backpack is powered by duino-2, there is still corruption of i2c reads from the wiichuck even with two 4.7Kohm resistors in place to pull up both SDA and SCL. However, if I power the offending LED backpack from duino-1 and the resistors are in place, then the noise problem goes away entirely. I am not sure how to interpret this, but I now have a working i2c bus, no mouse creep, and an LED readout, so in practical terms this is success 
next experiment I guess will be to set up a heftier 5vdc supply, 1a or so, and power everything from that. as I understand it, the duinos are smart and will cease to draw power from USB if they see sufficient input voltage on VIN? so if I were to feed them both a solid +5vdc from some external supply, it would be safe for my USB ports? just making sure before I smoke anything valuable...