The only interference I'm aware of is that with 285's, the tire will rub the UCA if you run stock wheels with no spacers. You'll need wheel spacers to clear the UCA (this applies to stock and aftermarket).
If you're set on the OME/5100 setup, the 885's will give you over 3" of lift. Most with a v6 run the 884's for 2.5"-3". If you're planning to add weight to the front, then you should go with the 885's. For the rear, if you're adding weight the 895's will be fine, but for stock weight I'd go with the Toytec Superflex coils.
The chop is hit or miss, I haven't noticed any rubbing on mine but each setup is different.
My only question, why the Icon UCA's? The Light Racing UCA's would save you a couple hundred and they will still allow you to get the alignment back into spec (main reason for upgrading the UCA's). The money saved could go to a set of adjustable coil overs for the front, and would be money better spent IMO. You could probably do the Toytec coil overs in the front (I'd buy the fronts unassembled and re-use your stock top hats, it'll save a ~$200), 5100s rear with Superflex coils, and LR UCA's for about the same price. Benefit is that you'll be able to dial the front in to the exact height you want instead of being stuck with whatever you get from the coils and any spacers. Nothing wrong with your planned setup, but the adjustability is nice and is in your budget if you go with LR instead of Icon UCA's (unless there's a specific reason your set on the Icons).