Just for reference,
My truck does have trim pieces on each side of the windshield.
They do nothing to secure the glass; it’s the adhesive securing the glass.
The plastic trim pieces just cover the gaps on each side.
The front glass and rear hatch rubber moldings on my Z were/are very hard.
I removed the chrome trim and sanded them smooth.
They actually look nice smoothed out, lost all the bulkiness and smoothed out the lines abit.