Well, why is glass the problem?
Do you live in an area where you are worried about the glass breaking, such as a place where there are hurricanes, tornadoes or earthquakes?
Or is an aesthetic thing?
You can buy a film coating for the glass that makes it look like frosted glass, and put it on the inside.
This type of coating is used on windows for privacy.
In your case, if the glass cracks, the shards and slivers will stick to the adhesive and not go flying all over you and the kitchen.
They come in different levels of opacity, so the contents of your cabinet are not visible from the outside, if that is your concern. Some even have designs.
https://www.decorativefilm.com/product-list?gclid=EAIaIQobChMIwq-v4-Cf3AIVRYJ-Ch3URAbMEAAYASAAEgK03PD_BwE
The other thing you can do, is since you are not going to reuse the glass, is to just paint the glass with the same color paint as the cabinets.
You don't want to use regular house paint, as glass isn't porous, so the paint won't set properly and the humidity in kitchens will make the paint on the glass get gooey.
Check this out-
http://www.glassprimer.com/products/
And then there is the really low tech method.
Go to the 99 cent store and buy white poster board and measure it to size and cut with a single edge razor and use painter's tape or frog tape and tape it in on the inside of the cabinet.
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