I have the same delimma, where the previous owner modified five of the cabinet doors by disassembling them and removing the wood inserts and installing frosted glass (yes, plain glass, not tempered). The glass was not tight and the doors were brad nailed/glued back together. I think I will wait until next winter and take the doors and have a local cabinet shop make new ones, using the original wood inserts (which I was given when I bought the trailer).
An alternative is to put safety glass film on the glass, which will prevent the glass from shattering if it is broken. I did pack screen wire spline in the gap behind the glass and that stopped it from rattling, but clear RTV pumped in behind the glass would be better.
In the end, I will get new doors, there is no chance of again disassembling these without destroying them.
So for the OP, my best suggestion is to use the glass safety film, such as this,
https://www.tapplastics.com/product/window_films/window_tint_films/safety_window_film/313Charles
'03 Ram 2500 CTD, 5.9HO six speed, PacBrake Exh Brake, std cab, long bed, Leer top and 2008 Bigfoot 25B21RB.. previously (both gone) 2008 Thor/Dutchman Freedom Spirit 180 & 2007 Winnebago View 23H Motorhome.