Basic physics, all the kinetic weapons should have a recoil penalty that scales with damage output (is damage just a straight momentum transfer calculation, or does a very high speed but light weight gauss projectile do more damage than an equivalent projectile with the same momentum?), but laser or plasma weapons don't rely on the kinetic energy to do damage.
A soldier with a high enough strength to counteract the recoil penalty should be able to walk multiple shots onto the target, for an accuracy bonus for firing more shots?
Obviously this would make the laser machine gun hugely OP. Is there space for a short range laser cannon like the MARS one, but without overlapping too much with the sniper rifle? If you want to suppress someone, bring along a kinetic machine gun as well? Or keep a laser machine gun, but rebalance higher accuracy and lower damage, and maybe 3/6 or 2/5 instead of 3/10?
Then the next question is how the laser shotgun actually works?