I am not a professional engineer, but from what I remember from some undergraduate engineering courses the mounts do not carry any load unless your feet are on them. Also to cover my butt, you should not modify the frame in any way as changes may make it unsafe to ride. What you do with your bike is your choice. Just don't try to pin a broken frame or worse on me or anyone else based on advise you received from a public forum, its up to you to do the proper research before making any modifications that may effect your frame's integrity.
With that said, they were the second thing after the helmet lock to be cut off of my bike just prior to the center stand and side panel mounts. I have seen some extreme things done to these old CB's (helped a friend mill out a new top triple clamp for his chopper) but always with the understanding that any changes may result in negative handling characteristics.