You basing this on the annoyance caused mainly by shotgun-wielding scouts. Taking away the scout's ability to carry a light weapon is not the way to go as it will punish too many players especially those who are not of the crutch-wielding type like snipers, AR users, etc.
The principle problem with scouts, and I am a dedicated scout player since closed beta who has never spent a single SP on shotguns to this very day, is that they have too many advantages even without the light weapons. You can take away the light weapon and it still won't solve problem. We have EWAR advantages that no other class has. We can recover our shields to full health just by disengaging for a few seconds and then re-engaging under our own terms and not that of the non-scouts. We can cloak effectively without having to worry about our PG/CPU demands. The Minscout doesn't even need a light weapon to compete. Just slap on a pair of Ishukone Nova Knives start OHK-ing heavies without a problem while wreaking havoc with its amazing speed which is another thing non-scouts don't have. As you can see, taking away light weapons won't solve the problem.
CCP Rattati is already looking into overhauling the EWAR mechanics that will likely impact all classes so that scouts won't dominate too much in that department. Tanky scouts are also likely to suffer with the changes hinted by Rattati such as increased profile signature with extenders and plates. Strafe speeds are also being looked into which is another major advantage scouts have over other suits.
HP Modules and Strafe Speed
https://forums.dust514.com/default.aspx?g=posts&t=181612&find=unreadEWAR
https://forums.dust514.com/default.aspx?g=posts&t=181381&find=unreadIf there is ANY compromise that I am willing to make at this point, it would be the following:
Make it so that scouts only have a light slot available. This way, scouts will be forced to make a choice between fitting a light weapon or a sidearm but not have both at once. Want long-range weapon? Sacrifice the short-range weapon and vise versa.
This compromise I'm willing to make is based on my recent experience with the Logistics class which -- for those who are already skilled into it -- doesn't have a sidearm slot. Yes, I'm now cross training into the GalLogi and so far I am doing just fine with it. I'm just forced to make a choice between a light weapon and a sidearm. I'm just not use to having my profile dampening advantage taken away from me. I feel so naked when I'm spotted. I feel sluggish when I sprint now. Cloaking won't help if my profile is always too high. I can't dictate the terms of the engagement as effectively as I use to when I'm in a Logi suit. In fact, this gave me more proof that it's not the light weaponry that's making the scouts too effective. It's everything else.
PS: What I'm saying here is that those who ask for the removal of light weapons from scouts are clearly ignoring every major advantage that scouts have and are just focusing on the one thing scouts don't have any bonuses towards.