Its not really a new problem, texting while driving is older and just as dangerous and also has to do with touchscreens taking too much attention.
At least, unlike some extremely important text, a wild dragonite spawn will encourage you to stop your car because you do not want it to run away after the first try.
In the early days, drunk driving was normal, not even illegal, and there were no seatbelts and no airbags. Now the cars are more secure and laws strongly encourage people to drive sober, and new laws intended to target texting while driving also hit pokemon go while driving, because you get fined for holding a smartphone while driving, no matter what exactly you do with it.
I think its mostly an enforcement issue. In Germany there are plenty of radar traps to catch people speeding, every now and then they change the setting so that they take pictures of every car, just to fine the people not wearing their seatbelt or holding a phone while driving. Penalties are low, but cumulatively get higher if you get caught repeatedly, and with good enforcement, if you do it often, they will get you often.
So i think unless you live in a failed state with an incompetent government, badly done laws, and bad enforcement, it will sort itself out.