The article doesn’t go into it, but a key advantage they have is that heat pumps move heat, rather then trying to generate it. So they can move a lot more heat into your house than would be generated by running the electricity they use through a resistor. This makes them effectively more than 100% efficient (the exact amount depends on temperature) as compared with burning a fuel or resistive heat.
You have a furnace that provides heat, air handler that moves the air, and compressor that forces heat in a certain direction (inside to outside in the case of AC) with coils in the air handler to make use of that (re)moved heat.
Heat pumps have several features that make them a bit more than backwards AC, like defrost systems, VFDs and often dual-fuel controls. If it snows where you are, you’ll also want it off the ground. So, best to get a new system.
As another said, you might be able to reuse the coolant lines and coils in the air handler. It might not be a bad idea to keep the furnace for backup when it’s extra cold.