If you can change the software on the steering ECU, then you can change it to include a J1939 stack and exchange information with the rest of the vehicle.
However, getting access to the software is likely to be difficult. You would need to rewrite quite a lot of the software, and without the source code that would be very difficult.
It would probably be far easier to have some separate gateway that communicates with the steering ECU using CAN 2.0B and with the rest of the vehicle with J1939, and passes back and forth the messages that are needed. It is possible that the gateway could run with a single CAN connection for both types of message, but it might be easier to have them physically separate.
I don't know how J1939 devices claim their source address. The only network management that I have come across is in CAN 2.0B where it is used to decide when the module go to sleep mode and the current consumption drops right down.