You've got the right idea.
I'm not familiar with your hardware setup, but something like the following could probably get the job done.
The Set Output VIs (boxed in red) need to be supplied with a speed. Right click on the input node and click create constant (or something to that effect - its been a while since I've used labview). This will make an input variable which you can hard code to a value from 1.0 to -1.0. Start with a low value 0.2 to -0.2 and see how fast that makes the motors rotate. Also, before you fully implement this, be sure to verify you're turning in the correct direction (toward the limit switch that should stop drive motion). If you go in the wrong direction you'll keep going and stall the drive which could cause damage depending on your setup.
Inside the nested false block make sure you have a Set Output VI which stops the motor. Same for the case where the joystick inputs are within .1 to -.1, motor should be stopped by sending the Set Output VI "0.0"
Note: I don't know if the "Shooter Limit Right" and" Shooter Limit Left" variables are in the correct box (may need to be switched depending on how your joystick makes the motors turn).
Goodluck, you're on the right path.