How to Disarm Alarm System for cross-country auto transport?

The alarm on that vehicle from the factory won't be an issue as long as the transporter has the key or fob. The simple method is to not lock the vehicle. Next would be that once loaded they lock it with the key or fob. Then they unlock it the same way. That truck only has an alarm system that senses intrusion so unless they pry open a locked door it shouldn't go off. Now if it has an aftermarket alarm you would need to look at the instructions for whatever system is installed.

If I took out the fuse for the anti-intrusion module it shouldn’t go off at all, correct?

There is no individual fuse for the alarm system on that vehicle, it is all part of the body control module. Remove the fuses for that and the doors will not lock, and the vehicle will not run. In reality I have never seen those systems be a problem because the hauler has the keys with them.

Thank you!

You're welcome. If it were mine, I'd walk around it taking pictures, then sign the paperwork and hand them the keys. When it gets to the new destination, compare the pictures to check for damage and if it's okay go and enjoy it.