On the contrary.
I asked for an example of gun control that prevents criminals from getting guns and does not infringe on the rights of the law abiding
You responded with the plenary licensing of gun owners and a plenary requirement for gun owners to carry liability insurance.
-Nowhere have you soundly shown how these requirements will prevent criminals from getting guns.
-Nowhere have you soundly shown how these requirements - preconditions on the exercise of the right not inherent to same -- do not infringe on the rights of the law abiding.
Its your position; its up to you to support it.
Here is the first argument that YOU COMPLETELY IGNORED: Every tax is a precondition to ownership. Taxation is allowed. Taxation is a regulation on sales. Thus your argument is moot. The constitution did not say free from regulation. That was left to religion. See first amendment.
Here is the second argument that YOU COMPLETELY IGNORED: Every criminal has a first crime. Taxation, licensing, costs of insurance are all barriers to purchasing weapons. When less people have guns less people will have their first crime using guns. Pure math. If the odds of a first crime with a weapon are 1 in a thousand reducing the number of people with weapons via taxation will reduce the number of people that have a weapon. For example, if the cost of ownership of a gun goes from 200 bucks to 2k dollars a year, the number of non criminals that have guns will be reduced by a significant percentage. Let's say 1/10th the number of people would then have them. Thus making the odds 1 in ten thousand for first crimes with a gun vs 1 in one thousand. Same thing happens with health care or any market for that matter. If it's expensive to have a thing the people having the thing is reduced.
Again completely ignoring arguments is not the same as rebutting them.