Electric cars have roughly the same (or more) parts as does a gas powered one, and way more software to boot (which is really just more "parts").
If you count the whole car, that may be true, but only because electric cars tend to be higher-end models with lots of bells and whistles.
If you mean the drive train, though, an electric drive train is orders of magnitude simpler than a gasoline drive train. There are no valves, no pistons, no camshaft, no timing chain, no injectors, no distributor, no spark plugs, no oxygen sensors, no knock sensors, no catalytic converter, no oil pump, no EGR valve, no gas tank pressurization test system, no fuel pump, no fuel filter, no water pump, no radiator, no transmission, no starter motor.... The amount of emissions control parts alone are enough to boggle the mind.
With an EV, you replace all of those common points of failure with a simple electric motor (i.e. a winding, brushes, a magnet, and a shaft, give or take), plus some motor-control electronics, plus a charge controller for the batteries, plus a giant pile of batteries and wiring. As complexity goes, electric drive trains are just a lot more straightforward.
And gasoline engines are extremely safe. Most of the fires are rather rare and usually start with the electronics. Also the battery in an electric car (while I think is mostly safe too) carries a charge that will mess you up. Potential energy is still potential energy and dangerous.
Fuel system leaks and other combustible fluids spraying on a hot engine are the most common cause of vehicle fires. Electrical malfunctions, at last check, caused less than half as many fires as mechanical failures did.
Yes, potential energy is still dangerous, but your odds of fire are much greater when you produce locomotion by detonating volatile gases at high temperatures and pressure.
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Range really isn't that important unless you're on a long distance drive. You come home and plug it in at night.
You can safely assume that the capacity will degrade over time, so having extra range now is a good hedge against premature obsolescence.
