Well, in some parishes they do and others I think they take on less of a role. I think there are some decent lay people that can do the administrative tasks as well.
However – this all runs into an issue of money and can the Church really afford it?
Suppose we do get more people in the priesthood – what will the dioceses do to pay all these new priests? Supposedly they do not have much money and such, but what if one day there is a huge rise in vocations to priesthood?
They need to get paid to live and eat somehow.