Catch - yes you have the idea -
At the moment, all your limit switches are "off" - their contacts are open.(+5v to computer) Along comes the carriage - hits the limit and closes the switch.(0v to computer)
What you need to do is swap the terminals so that the limit switches are in fact "on" all the time (0v to computer) - along comes the carriage - hits the switch and opens it - 5v to computer. YOU NEEDN'T WORRY ABOUT THE 5 V - THE WIRING IS INTERNAL - THE LACK OF 0V READS AS 5V. Change the Active Low box to a cross and away you go.
It is fail safe, in that, if any wires come loose, the internal pull ups pull the signal to 5v and signal a limit is hit - you know it hasn't hit a limit - but it gives you a clue where to look.
The other advantage is, you can connect all the limit switches in series, and just use one wire as input to the computer - saving inputs (although this doesn't work if you are also using the limits as homing switches)