Description of the problem caused by removing hte auto safe bar entirely:
Dangling from the top of the receiver is an assembly called the "selector arm assembly" that swings back and forth. When you open the action it is reset forward and is out of the way. For the first barrel to fire, the trigger selector button directly pushes up on a sear lever. After you drop the first hammer, the selector arm assembly snaps to the rear under hooks on the rear of the sear levers. When the selector arm is under the two rear sear hooks, it ties the two sears together. When you pull the trigger again, the first sear will move the second sear via the selector arm causing the second hammer to fall.
Now if the selector arm does not reset to the forward position when you open the action but it will defaults to the rear, it will be tying both sear hooks together and pulling he trigger once will lift both sear levers & make both hammers fall.
When you remove the entire auto safe bar, it reduces how far the selector arm is pushed forward upon when opening the action... This will make sense if you are looking at the gun while reading this. The very front end of the auto safe bar is nestled into a groove machined in the back end of the
locking bolt (big square bolt that slides back and forth to lock under the lugs on the bottom of the barrels). That part of the auto safe bar is sandwiched between the locking bolt and this lever that pushes the selector arm assembly forward when the action is opened. Removing that part of the auto safe bar effectively makes the locking bolt shorter, so it doesn't quite have enough reach to lever the selector arm assembly quite far enough to reset. Therefore, every time you open the action, the selector arm stays in the rear position, tying both sears together for a double discharge.
Description of how to remove the auto safe bar and re install the front piece:
I don't think you can cut the bar right up there by the locking bolt w/ it in place. You might cut the middle of the bar and rip out rear half to make the front half easier to remove for further cutting.
To lift that lever out of the way that captures the front of the auto safe bar against he locking bolt, squeeze it w/ some
needle nose pliers. Put one jaw under the lobe on the back of the lever, and the other on top of the unlocking lever bar on top of the receiver. Use tape or something to prevent scratching. When you get it out, cut off the front end of the auto safe bar, the part that goes between the locking bolt and that lever, leaving a little tab on there to hold on to.
To reinstall, squeeze open the space w/ the pliers again, and use a second pair of needle nose pliers to put the (now) little piece back in there.