No, that's a crappy idea, along with letting ex-felons have 2nd A rights. There is a reason that society decided that people who commit serious crimes don't deserve to have say in the society they abused.
Take a trip with me Rabbi. I too used to think that exact same thing.
One thing hasn't changed. I really don't have any sympathy for people who deliberately do bad things to other people.
Now I'm taking for granted that by "serious crimes" you probably mean felonies, at least. And I admit that people who commit serious crimes need to be severely punished. However, the problem with the idea that ex felons shouldn't own firearms is threefold.
#1. It's a meaningless restriction.
#2. It's a band-aid on a broken arm mentality.
#3. It's a tool of the gun grabbers, as it's ridiculously easy to become a felon already.
Point #1: It's a meaningless restriction.
You can be holding a loaded firearm and still be unarmed. It's the software, not the hardware.
While it's true that better tools do make for easier completion of intended tasks, what makes dangerous people dangerous is the fact they're unhinged. There is something wrong with them, something very, very wrong with them. They don't care what happens to people like you and me. What's more, they don't care about rules, ideas, or policies. They are convicted felons, after all.
I've never spoken to anyone who actually believes that firearm restriction schemes or whatever you want to call them work or could work if the person who wanted the firearm was determined enough. If they want a gun so bad, they'll get one. It's really that simple. On top of that, even if we get your control scheme to work, it's not like lack of a firearm renders one harmless. Should we restrict felons from owning blackpowder revolvers, pepper spray, tasers, baseball bats, knives, and their fists while we're at it?
These people who hurt others are sick and alien. They don't care about laws, restrictions, or anything.
Now you may argue that's wrong because some felons do follow the rules and try to get their lives back. Well if they can follow the rule to not own a gun, they can follow the rule to not shoot anybody. As far as I'm concerned the latter trumps the former. I don't care how many guns anyone has as long as they don't go shooting people for no reason. In fact, it's absolutely none of my business whether or not they own one or any firearms.
On top of that, I've been assuming the whole time that we're talking about violent felons. What about a cyberterrorist or an embezzler? Are they not allowed near computers or accounting ledgers any more? That would make more sense then banning them from owning firearms. Sure they're bad guys and subject to punishments, but they never laid a hand on anybody. Let the punishment fit the crime.
Point #2. It's a band-aid on a broken arm mentality.
The real problem is, we're letting violent and dangerous freaks like rapists out of prisons every day. Now I agree parole may be reasonable for many offenders, possibly even a rare handful of violent offenders, but the hard fact of the matter is recidivism happens and there's no rehabilitation for someone like say, Jeffrey Dahmer. We are creating the problem by releasing violent felons who we damn well know have hurt people, and will continue to do so.
Tossing them out and then crying "You're free to kill again but it's okay you can't own a Marlin .30-30!" is worse than half assed, it's utterly irresponsible. I personally want it written in concrete that you can't restrict someone who is not in jail or mentally incompetent from owning a firearm to force the justice system to reform itself, because then they won't have any more excuses. We need to solve the problem of violent felons being freed to kill and hurt again, not the problem of how to write the best sounding meaningless restrictions on them once they are freed.
And it's not that I think the justice system are the bad guys here. I don't think anyone is doing this on purpose. I think the problem is that the system is being crushed under the bureaucratic weight of a government gone mad, which brings me to point #3.
#3. It's a tool of the gun grabbers, as it's ridiculously easy to become a felon already.
Seriously, I bet a goodly portion of this forum has had a controlled substance in their possession. My late grandfather kept an illegally shortened shotgun hidden away for decades. A man who asserts his 5A rights and doesn't file a 1040 is in big trouble. If these people were caught and convicted, they'd be felons.
Why is it illegal for me to purchase a kilo of a controlled substance and then destroy it, never consuming it or distributing it to anyone without the chance of being made into a felon? Why is a 17.5" barrel on your 870 not okay without a magic paper? Why can't I assert my Constitutional right to not incriminate myself?
What is considered to be a serious crime now includes darn near everything a man can do. There are many victim less crimes, which shouldn't even be crimes at all, which count as felonies.
2324 offenses in Texas alone are felonies. If felonies included only crimes that are actually harmful to society, I don't think I'd even care about the 2A rights of convicts.
I hate to overuse Rand quotes but it's appropriate.
There's no way to rule innocent men. The only power any government has is the power to crack down on criminals. Well, when there aren't enough criminals one makes them. One declares so many things to be a crime that it becomes impossible for men to live without breaking laws...you create a nation of law-breakers and then you cash in on guilt.
We need to toss out the drug offenders and guys who tried to pick up prostitutes and other people whose only crime is violating the arbitrary code of morals the government tries to force on us so we can spend the money on keeping the truly dangerous people in. Maybe that's not a complete solution but it's a good start.
The sentiment to wish to protect people from violent offenders is a noble one and I commend The Rabbi for it, but the current means by which the state tries to accomplish this goal are not optimal.