You should try to avoid screwing it in from the bottom, like in that pic. The problem with screwing it in from the bottom is that the only thing holding that somewhat heavy tube in place is the screws thread, which is pretty thin. The thought of that makes me nervous.
Preferably, your tube would instead sit on top of the wood, secured by T-nuts at the corner pegs. That way your tube is supported at each corner by all the wood and CRT corner pegs. This will be much more secure and sturdy.
You should be able to slide the chassis out from that bracket attached to the bezel/front. Looks like clips on the side, near where that ground lead is attached (like buttersoft mentioned earlier)
Once you have the CRT secured, you can just screw the chassis to a bit of scrap wood, then screw that onto the side of your cab. Your cables/wires are pretty short, which may limit your options, but should be do-able.