Welcome, Ray.
Way too much of that sorta work goin' around, unfortunately.
Don't know how you'd get all the pre-mixed grout out of that installation sufficiently to allow a proper grout job. Maybe some big-time tile guys herabouts have some insight into this. It's not gonna make you a good shower, but if that's what you wanna do, perhaps someone can 'splain you how.
I'd be very concerned with the consturction of the shower pan, given the methods used on the tile. Or is this a tub with shower surround? In either case, I think you should plan on a total replacement sooner, rather than later.
If it's a tub/shower, yes, you could just hang poly all around and use the shower. I think I'd use 6mil, though, so's not to be pokin' no holes.
My opinion; worth price charged.