@Isa-Kaynar :
I was able to fix my issue. I found what I was looking for here:
https://community.onion.io/topic/2363/disable-omega-2-i2c-so-that-arduino-dock-can-be-i2c-master/4
Basically, I disabled the I2C pins on the Omega and that let the Arduino's I2C work correctly.
There may be a way to make them both work at the same time, but I'm not smart enough to figure out how.
Tom