I have a new wall dividing a room made with steel studs, like you
would see on most commercial jobs.

Problem is with the floor molding attachment. I know nails should be
fairly worthless there, or so I would think, so it would seem that
some sort of gluing would be necessary but how would I be able to
ensure a tight fit to the wall short of using screws with the
attendant filling problem? Or am I just looking at this all wrong?

Practical advice is needed. Thank you in advance.