I cannot agree enough with this thread and the concept of 'how much can someone carry'. EYE: Divine Cybermancy had a good take on it. You have a set number of open slots per location in which to carry everything. Each item was a certain shape and size, taking up different amounts of slots in different combinations.
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There is no way you can hold a weapon in arm pouchs, but smaller weapons will fit in leg pouches and across your chest/back.
If a system based on the weight and concealability of items could be implamented, I would be happy. By all means have a bag/backpack that can carry more gear, but the actual amount of weaponry that can be used at one time needs to realistically limited. Clothing and webing can make a big difference here, obviously, but common sense should still play a major role.
Stash bags may be an option. In the PnP CP2020, I always bought several sturdy canvas hold-alls. I would take a couple folded up in my pockets and any excess ammo or gear that I would not need on hand at all times lived in another one that I would stash away while I had to pay attention to what was going on. (I even switched one that had prototype gear in it, (read: expensive mission objective,) that we were supposed to recover and did a runner, leaving the party with a bag of scrap and C4 with a light sensetive detonator. Happy times...)
If we can dump off these 'stash bags' do our fighting and pick them up again when we have a hand free, it could solve the unrealistic carrying capacity conundrum.
Vehicles with storage is another option I am in favour of.