I most certainly would and can foresee it solving many problems.
For one thing, I imagine it would greatly reduce crime. How exactly would one buy drugs, contraband or stolen goods without cash?
It would also mean that certain businesses would not be able to hide their revenue so easily and offer discounts in exchange for cash.
Illegal immigrants would not be able to vanish into the background because they'd have to gain legitimate employment and maintain bank account which I assume would require the correct visas.
But I must be missing something. Surely they are legitimate reasons why we still have cash, but honestly what are those reasons. Willing to learn.