I doubt the Browns trade up to the #1 for a QB. They don't need a LT either. So who else is worth it to trade up to the #1 spot?
Ok, I'll play devil's advocate and say that kc does find a trading partner. If they do manage to trade down, no one is going to give them much in trade, that is, it's not going to be an RG3/Skins type of trade. They will probably swap firsts, and pick up an additional pick like a second, and then what else? If the strength of this draft is in the 2nd-3rd round, do you honestly think other teams are going to give those picks up in trade?