Would they? PS4 is $399 as I recall. Wii U is what, $300? Without the Gamepad it would be $200. Nintendo is just gluttenous when it comes to the pricing of their products.

The gamepad costs $80 to make. How much does a pro controller cost to make? Considering that the Pro controller retails for $50, I'd say the gamepad adds $50 to the retail price of the Wii U. They could have dropped the gamepad, and sold Wii U for $250. 

Nintendo's main audience is kids, and older Nintendofans. For the parents price is everything. For the older fans, price is important since they don't want to buy two consoles at $400. 

I'm sure that wouldn't bankrupt them. But, would your supposed dream console be powerful to enough to support current third party games? Something I didn't take into account.

No, it wouldn't. I don't think Nintendo is ever going to get back the third party support that it enjoyed with the GC. If Nintendo makes a piece of cutting edge hardware, then it will be too expensive and Nintendo's AAA titles will take too long to make. If Nintendo makes a last gen system, then third party won't support it, but the AAA titles will come out in a timely fashion. Just look at the first 18 months of the Wii. We got... Twilight Princess, Metroid Prime 3, Galaxy, Smash, and Kart. That wouldn't have happened if the Wii was as powerful as the PS3/360. Dev times would have added an extra six months to a year to the end of each title. 

Just imagine the GC2 launching instead of the Wii. It launches with no good AAA games, costs $500 at launch, and we don't see a single good game until 2008. Third party doesn't support it, because developers already wrote Nintendo off years ago. Having no good AAA games, and no third party support sales of the system are horrible for the first 18 months. After that the death spiral continues and Nintendo leaves the console market. The Wii strategy saved Nintendo from impending doom. 

I want a gamecube

Nintendo doesn't need power to rival the Scorpio/NEO. They would get a good amount of third party support off of having the same specs as the current PS4/XB1 consoles, considering there are no exclusives being made for their more powerful counter parts. At that point, Nintendo wouldn't have to rely entirely on first party support, though it would be the cornerstone of their strategy. Because they would have the new Pikmin, Mario, and Zelda games to come out for it on launch year, along with remasters of important Wii U games, and third party games. All of that is enticing to the average consumer. And they could ship that out for like $350, no big deal. Same as current PS4 prices.

I think an NX that is only as powerful as the PS4 would qualify as last gen. That isn't a cutting edge piece of hardware that breaks the bank. I don't think devs would bother to port anything over to the NX, PS4 specs or not. Let's say the NX sells 5 million units in the first year. That is fantastic. But from a dev's perspective that isn't enough of a base to cover the costs of doing a port. Why bother throwing all that money into an NX port of Doom, when you already have 60 million combined customers on the PS4/XB1? 

The thing I want most from Nintendo is a new F-Zero game.

Bag of crisps
A blowjob
Additional paid vacations, no less than six additional weeks.
Free movie library of everything, like iTunes music for all things.
Some sort of space game, and not FPS Metroid of Star Focks bullshit, A REAL space game.
Taquitos
Announcement on NX every week
Public execution of Ninheretics.
Xenoblade Chronicles NX
Super Mario Galaxy 3
Project Hammer
FF7 on N64 cartridge
Bring Tupac back.

Sincerely, Wveryday, average, normal guy.

What I hope Nintendo bring with NX is bolded + an environment where 3rd parties thrive (it just needs Nintendo to innovate through their own software rather than make hardware innovations that might turn off 3rd parties).

The industry needs another successful Nintendo home console as Nintendo's exclusive library coupled with every multiplat would make a highly competitive platform that'd drive the industry to new lengths. Nintendo has to make sure their innovation palate has a basis where 3rd parties can also thrive and be welcoming instead of projecting some new standard.

I prefer when Nintendo innovates through their games rather than their hardware so I really hope their next home console has specs, architecture and controller blessed by 3rd party developers (in order to cater to the huge mainstream market it's crucial to have the big multiplats such as GTA, COD, FIFA, MGS, FF, RE, AC, WD, BF, TES, Fallout, Red Dead, Far Cry, Destiny, ME, DA, etc).

Additionally, I hope they have solid launch (or launch window) exclusives including exciting new IPs and highly demanded exclusives (besides the fantastic Zelda BotW) like an ultimate 3D "The Pokémon Adventure" (why is this not a thing?), the rumored 3D Super Mario (let's call it Galaxy 3) and a full-blown Metroid game (would be great if they could cater to longtime fans but at the same time capture the interest of the mainstream market with this Metroid game).

For this to be possible I think Nintendo has to expand and add at least 1 more big Western development studio (like Retro Studios) to their family of 1st party developers. Granted, it won't be cheap but Nintendo can afford it and if this could help them reach a larger market (and as a result a bigger potential audience for their own games) they may as well do it now rather than later. Nintendo's Japanese developers will continue to provide the magical Nintendo games like Mario Kart, Smash Bros, Super Mario, Zelda and Pikmin. So this can in no way be bad for the core fans.

This would be my dream next-gen home console from Nintendo and what I think could sell potentially huge numbers WW.