I'd be surprised if MQX doesn't already support I2C. Have you looked in the BSP and in all the sources that you have there? What version of MQX do you have?
MQX is currently at Rev 5, and support for Coldfire is missing. I'm guessing it was supported in the previous version, but they say "MQX v4.2 is no longer available".
What I said about Linux is that I2C support isn't specific to one CPU, but the driver is for Freescale. That means for their Coldfire parts and the i.MX parts. Freescale have been using the same I2C hardware module in a lot of different parts over a long time. I've just checked the MCF54415, MCF5235 and i.MX6DQ manuals, and they all have the same I2C control registers. So a driver for any one of them should work on the others with a bit of tweaking for addresses and interrupts and so on.
I think you should already have an I2C driver for MQX there. If not, you might be able to get MQX 5, and might be able to use an i.MX I2C driver from that (if they haven't changed the OS too much).
I can't give you anything that will "drop in and work". Whatever you do will need some work.
Tom