Why would u want Lich's if u have more AD than AP? I mean:
AP = 70 (GB) + 20 (malady) + 80 (LB) = 170? Pathetic.
Your AD from just base stats and Cleaver is higher. Not to mention Trinity gives 1.5 times your AD as a bonus. Bane works ONLY if you have an early AA's and a Deathcap. And that's not Hybrid, that's AP.
Moreover Malady and Wit's End are a bad idea on Ez. He is mostly about positioning and even though his attacks are strong and AS high, often you'll find you have no time to attack. Basically you want to run around, stay out of harm's way and toss 1k damage Mystic Shots. Squeezing in the occasional attack when possible. You can do that with either AP or AD. AP is just harder to play. It is however more rewarding as it gives you 2 more nukes.
Still, if I had to build a hybrid Ez (I never do), I'd go with
Sheen - Boots 1 - Tear - Vamp Scepter - Phage (you absolutely need it to kite) - Deathcap - Lich's - Gunblade (components in whatever order) - Bloodthirster - Finish AA's and Frozen Mallet
Upgrade boots whenever appropriate
Basically replacing some of the AP and CDR from the nuke build with Gunblade, Mallet and a Bloodthirster. I still think the pure builds are superior though, because hybrid has neither AD's early dominance nor AP's late ownage. Also Sheen upgrades benefit from either AP or AD so it's natural to only invest in one of those stats.
Oh, also if you look at Q you'll see that it has a 1:1 ratio with AD and 0.2:1 ratio with AP, meaning that with Trinity and Lich's respectively it will effectively have 2.5:1 and 1.2:1 ratios respectively. So AD gives a little more than 2 times more damage to Q. 1 Ad costs about 2 AP. Of course Rabadon's changes that, but that's not the point. The point is that if you don't intend to actively use W and E in offense, AD is far superior to AP or hybrid.