I think it is fairly disingenuous to compare vehicle related deaths to gun related deaths. I don't really care to speculate on the exact numbers right now (call me lazy), but I can only imagine that folks are using cars much, much, much more than guns. Cars also serve a purpose for the greater good---it gets people where they need to go and is the most used form of travel in the United States. Guns are fun, and quite frankly aren't really even usable for the purpose that folks seems to cling to---protecting against the government. If the government wants you dead then you will be dead, no sense in worrying about using a gun to protect you.
People use guns for fun and they use it to protect themselves in case of a home invasion. I am completely fine with both of those, but when children are dying due to folks simply not wanting to be limited to the guns they can have then that is where I draw the line.
I also don't know why increasing gun control is so independent of mental health improvements across the board. Of course we need to continue to address and work on what we are doing as a society with regards to mental health, but that is going to take years upon years to do. Since know what the majority of these incidents involves (guns), it would seem to me that we want to curb that while we work on a long-term solution.
If President Trump was sincere about the temporary Muslim ban due to terrorism and what's going on (I doubt he was), then there is absolutely no reason why he wouldn't care over the same logic when it comes to guns in America. Until we get it figured out maybe we should limit them in society.