Well, its already on the PS Share site

http://share.blog.us.playstation.com/ideas/2015/05/25/dualshock-3-with-the-ds4-form-factor/

Fixed it for you.

It would be awesome for some, add Cell, emotion engine and ps1 hardware to a ps4 case, yet I doubt it would make a profit at $600. Too costly to retool a construction line for the few sales it will do.

You can dream about the ultimate ps4 anyway. Nice steel casing, 2tb hdd + 256gb ssd, full bc, 4 USB ports, card reader (ps1/ps2 and modern media), ps1/ps2 controller ports, all video and audio out options so you can choose to play on an old CRT tv. Yet although I like the idea of having one, I know I'll only use it for ps4 games after the initial novelty wears off.

However maybe thanks to PSNow adding a Cell chip to a slim ps4 is not out of the realm of possibilities. They've already shrunk it down to fit 8 ps3's on a single server blade. It might be possible to add a single one for just a $50 premium. ps2 and ps1 bc can be added in software, yet I don't know if the drive is capable of reading ps1 discs. It would have to sell a lot to make it worth retooling a production line. Since ps4 is still selling like hot cakes, it makes no sense to produce a risky separate sku.

Horses for courses, I don't find the PS4 controller nearly as comfortable, and the thumbsticks suck. And yeah, the less said about the battery the better.