About driving the rear wheels of a Civic...
B) replace your rear hubs with front hubs and attempt to install some sort of diff between them with driveshafts (that happen to be exactly the right length) then drive the diff with a reasonable size motor. With all of the structure that would be currently between your rear wheels I don't think this is practical.
Obviously the front hubs and rear hubs are unlikely to be interchangeable, and adapting a drive axle into a suspension not intended for it is generally an unreasonable project. That leads to the next option...
C) Remove absolutely every component under the rear of the car (I really mean EVERYTHING). Replace it with the rear end from a rear wheel drive car including the diff. Then again drive the diff with a reasonable size motor.
In some front wheel drive vehicles this is actually reasonable, because there is an all wheel drive version of the same vehicle, and its suspension and drive axle can be used. It is still more reasonable to get rid of the FWD car and buy the AWD car instead - rather than swapping components - but sometimes keeping a specific FWD-only body style would require the swap.
I don't think this generation of Civic (or its predecessor, which was mechanically similar) was ever available in AWD. The rear suspension of a CR-V or Element was similar to the 2003 Civic, and could perhaps work in a Civic. You might even be able to swap an Element or CR-V complete hub carrier into the Civic suspension.
Of course if making the back of the car into a big empty hole and starting again with a completely different structure and suspension is within your design and fabrication abilities, the suspension can be custom or can come from a different vehicle. In his thread
Drivetrain layout options for a no-transmission build?, one member proposed putting the entire front suspension from another vehicle in the back of his Civic; the thread fizzled and I assume that the project was never built.
If doing a full EV conversion (and so removing the engine), the easy way out is to just drive the front wheels. The Mitsubishi i-MieEV, Nissan Leaf, VW e-Golf, Fiat 500e, Ford Focus Electric, Chevrolet Spark EV, Smart ForTwo ED, and presumably others are all EV variants of gasoline-engine cars with the motor just placed where the engine was, even if that's not the ideal place... and in all but two cases the result is a front-wheel-drive car with a pile of battery weight in the back, which would be nonsensical to do if designing from scratch. The other two had mid-rear engines, and so have mid-rear motors... still in the wrong place because they get in the way of the battery.