Actually people do scream about car deaths. (Have you ever been to a MADD meeting or a community meeting over a new highway in town?)
But to your point - death tolls are indeed similar, and dead is dead. So let's treat them similarly. You make an excellent argument there.
All gun owners have to register their guns if they take them off their property. Just like cars. They must have a license to use them, just as with cars. They must carry insurance if they carry them into any public areas, just as with cars. The insurance company can decide how much to charge you based on your past history, training classes, mental health eval and the like. Special discounts for people who submit their mental health assessment!
Cars have several mandatory features to reduce deaths. Let's add them to guns, just as we add them to cars. A biometric sensor to ensure that only the owner can use the gun. A remotely readable RFID so police can quickly determine where they are. Most gun owners claim that their guns aren't used for killing. So give them vision systems that will not allow them to be used against people. Unless you override that, of course - as long as you have the right license for that. Different licenses for different weapons, just as we have different licenses for different vehicles.
And of course we have strict limitations on where cars can go. No cars inside airports, schools, courtrooms, stores or the like! Have storage areas for guns outside those places, just as we have parking lots outside of those places for cars.
As you have said, people screamed about car deaths. One of the reasons they are screaming less is because of the regulation around vehicles, regulation that has greatly decreased automobile deaths. As you say the two are very similar - so it will work with guns, too. I support your efforts to treat them similarly.