I am interested to see if you have a Constitutional/historical critique on this idea.
There is nothing either in the Constitution nor in US Senate history that precludes him from doing so. Up until 1850, MANY senators brought firearms onto the floor.
I actually thought you meant Trump should bring a real gun to the floor, which I would support.
As for Vance, absolutely correct. The veep has just ignored the real powers of the office as he usually is trying to develop an executive resume.