I would put a relay inline with switch. That way you can use a small switch and let the relay handle the load without issue. The smaller the switch, the easier to hide! You could opt for a momentary switch to hold on while cranking to prevent switch being left in the on position. A relay and micro switch and wire will get it done. I'd solder and heat shrink all connections to prevent issues down the road. This site has great info on relays and the such, https://www.the12volt.com/. Good luck with project!
That would work as long as the switch is rated to handle the load going to the starter. You would always want a fuse in the circuit to prevent a short. I like the relay in circuit as always a much smaller switch since relay handles the load and not the switch ( have learned this the hard way). That site I linked might even has what you're trying to do; https://www.the12volt.com/relays/starter-interrupt-diagrams.asp.
Interesting device that I didn't know existed. Since the only signal from a manual transmission is the clutch safety switch I wonder if you could defeat the security feature by disconnecting the connector at the safety switch. If this device provides security in addition to allowing your engine to run without the key then I missed that in description.I put in a Kussmaul Safety Lock D in my '04 5.9 3500 w/ manual trans. As Kussmaul states "The simple pressing of a button, and removal of the key, is all that is required. Upon the operator's return, the insertion of the key into the ignition lock returns the system to normal operation." I've been using it for many years now without fail.