you need a deglazing tool. like fein tool or the cheaper brand tool. a glass shop wouldnt charge too much. if not how close are you to idaho?

We're in Texas, but thanks! We'll have to look into that option, thanks for the tip.

A fein multimaster with the flat/sharp blade could get between the glass and the wood (from the front) to cut the sealant. From the back a sharp utility knife would cut it.
You will probably sustain some damage to the wood from the Fein. But there may be no perfect solution. Simply smashing the glass out (place the doors over a trash can) could still tear up the muntins, which are always very delicate in glass doors. If you don't have muntins in your doors, breaking the glass out is a faster cheaper alternative. The fein tools are very costly.
Casey