In just about every thing I've ever seen, guns have shown a largely neutral correlation relating to crime with a slight downward trend at times.
I have never seen a report that has crime trending upwards as more people legally possess guns. I have seen many reports (including this one) that indicate a negative correlation where crimes or people injured in them go down as lawfully held guns are introduced to the situation.
This is how I say it when I argue with people. "Every report I have ever seen, including FBI and DoJ, indicates a neutral correlation with a negative trend, or sometimes no correlation at all, but never have I seen one correlate legally owned guns positively with more violence"