If it is a matter of the absence of trustworthy identification, then it would appear to be a problem of ID standardization and staff training.
In this regard, I would encourage you to study the Quebec example. I had the opportunity to observe it in another life, when I worked for the Quebec Commission d'accès à l'information.
I believe that Quebec innovated somewhat, without having to create a new voter card or a new national identity card. In fact, it used the existing cards and allowed those who did not have a card to make a sworn statement.
My impression, Madam, is that the system works rather well. It has been quite well accepted and facilitated the regulation of elections. I would suggest that you consult Élections Québec directly in this regard, since I am unable to speak on behalf of this organization.
The method I have outlined has been in place for nearly 10 years. You could analyze it and see if it might correct the problems you spoke of and that arise in the case of federal elections.