These photos show the tool array that I use when working with Tolex......
You can apply Tolex to virtually anything provided the correct adhesive is used in the specified manner -- years ago it was used to create "vinyl" tops for automobiles back when such novelties were fashionable.
Note the tools depicted -- the wallpaper rollers are used to smooth the panels out after application to the cabinet. The large one is flexible rubber while the smaller one is hard plastic (used to crimp the material tight into the corners where the Tolex wraps into the interior-cleat areas. A fresh blade in the utility knife is essential for precision cuts -- change it as often as necessary. The 24" steel framing square is also a mandatory requirement.
I favor the red-label DAP liquid contact cement for its superior bonding properties. Once cured, it's durability is very similar to the original horse-hide glue used in the past. Have plenty of disposable brushes on hand for application and follow the manufacturer's instructions explicitly. Adequate ventilation is recommended (outdoor use is preferred). Conventional mineral spirits or mild lacquer reducer may be used for clean-up.
Old Tolex usually removes quite easily -- peel one edge up then pull the piece along its length and it generally comes loose with a single yank. Old adhesive should be removed from the wood before applying new covering -- I favor a powered palm-sander for this operation. Use the old discarded Tolex as templates to cut the new pieces. I use one of my wife's seam pencils from her sewing box to sketch out the required patterns on the new material -- it wipes away easily after the pieces are affixed to the cab.