I think that if they manage to make a reliable, "stunner"-type weapon, current personal protection firearms will be rendered obsolete. In order for this to work, it will have to have the following characteristics:
1) First-shot "stops" in the 50 percentile or higher;
2) Accurate to 25 yards under controlled conditions;
3) Ergonomics on par with today's handguns;
4) Multile shot capability;
5) Price range comparable to current handguns;
6) Little or no injury of death or permanent injuries;
7) Capable of penetrating light cover (sheetrock walls, doors, common autobody materials).
If such a weapon is commonly available, police agencies will be forced to start using it because of liability concerns and lawsuits; case law will undermine police authority to use deadly force in many cases because they could have reasonably used non-deadly force. This will eventually transfer to non-law enforcement deadly force cases, and citizens who could have reasonably used such a weapon for self-defense will be held to similar standards when using firearms for self-defense. Firearms will become a back-up or special application weapon for law-enforcement, and a collector/target shooter for the general public, unless a sucessful counter to "stunner" technology is developed. Stunning will become SOP for LE ( I forsee t-shirts that say "stun 'em all and let God sort 'em out.").
At least that's my view. Current tech isn't there, yet, but there are already lots of lawsuits against LE in the pipe for shootings when an agency "should" have used some of the availble "less-lethal" technologies. When a truly effective, real "non-lethal" technology becomes available, we will see a major paradigm shift in use of force case law and public expectations.
BTW, to my knowledge, there are no restrictions specifically aimed at possession, sale or use of directed energy weapons, except for federal technology export limitations.