I recognize the switch on the right. Got the same thing in our fire trucks at work.
The switch is from David-Clark and is a Push-to-Talk (P-T-T) switch as part of the intercommunication system and is used to activate the transmit feature of the radio. It's foot activated (handsfree) and is used while wearing a headset. This is a simple momentary "on" switch when its depressed. But then again this type of switch could have been used for anything, not just a radio system.
The other switch looks like an explosion proof panic button, just by the looks of the design.