I think the Judge loses this one. Convicted felons already have other "fundamental rights" stripped from them. Rights given to them in the U.S. Constitution and Louisiana Constitution, yet nobody is arguing they should have the right to vote, or while on probation at least, that they have the right to protection against illegal search and seizure laws.
As to having to changed the law to affect only violent felonies, the law already only applies to certain felonies such as violent crimes and drug crimes. On most other felonies, if the person is not on probation or parole, then the law restricting possession of a firearm does not apply.