In our ICU, we are also responsible for all of the patient care (bathing, linen changes, etc.), but when we have an NA on, they will help you with that stuff. Our NAs also do our blood glucose monitorings, stock our bedsides and help us with our roadtrips. Our linens are stocked in a room, so other than an extra pad or pillowcase, we don't keep too much linen at the bedside. We do all of our own IV starts and blood draws, but there are techs that come around for EKGs and RT does our ABGs. As for our procedure trays, most of those come from central and it's the NAs job to make sure it's there.
As someone previously explained, many ICU patient's have so many tubes and wires hanging out of them, that it requires a little finesse when doing even basic nursing care.
A little interesting thing that we do with our crash carts is that ours are kept on the unit (we have 3) and have a little plastic lock on them (all you have to do is give it a little pull and it comes right off). Then, after a code, the US calls and central brings up a whole new, stocked and locked cart and they take the used one away. It's kinda nice because as long as you see the lock still on there, you know it's stocked and ready to go.