The consumer side is actually a lot more trivial than you are making out. It's also about as efficient as gas (0% at the point of consumption as you are producing heat, with about 40% energy loss on the production side).
Electric heating is about the simplest machine you can possibly make (it's just NiCr wire and a thermostat which is already there), and the cost would almost exclusively be the labour of installation. Even heat pumps (including for water) could be built in relatively short order.
The problem is it would entail quadrupling the electricity generating and transmission infrastructure. This is the hard part that takes decades.
Electric heating is about the simplest machine you can possibly make (it's just NiCr wire and a thermostat which is already there), and the cost would almost exclusively be the labour of installation. Even heat pumps (including for water) could be built in relatively short order.
The problem is it would entail quadrupling the electricity generating and transmission infrastructure. This is the hard part that takes decades.