Right after black pushes queen, white forgoes Nf3, instead going: Qh5+,...Qf7,Qxf7,...Kxf7 and black is in a much worse position, whith the lost castle and the suppressed knight. May I also add that after...Kxf7, fx6 and black is also down a pawn. I think the moral of the story it to never move the f6 pawn in the first place.
King's Gambit with 2... f6

I have a question, what ifWhite does the Qh5+
1.e4 e5 2.f4 f6 3.fxe5 Qe7 4.Qh5+ g6 what do you suggest for White after ..g6 ?

Marty:
Good point, didn't see that... I guess Qh5+ isn't really a choice then...I suppose you could swing it to f5, but then after a simple ...Nc6, whatever, ...e5, you're kind of screwed... Or you could just move it back to say, f3, take the loss in tempo, and then prey on a weakened castle position or at least pawn structure later on in the game.
Any other ideas? Maybe something along the lines of b3, in interest of Ba3? If possible, then maybe a bishop trade, followed by normal development.
In any case, I don't think I would make the move Nf3. Take my comments with your fair share of salt, these are opinions coming from a 1250 player.

Here is my suggestion for White. If anyone has anything better I am always open to correction.
1.e4 e5 2.f4 f6 3.fxe5 Qe7 4.Nf3 Nc6 5.e6 if ..Qxe6 then Nc3 defending the pawn on d4. I think white has an enormous advantage. if ..dxe6, white plays d4 also with an huge advantage.

Another point to note is that White is not obliged to take the e pawn on move 3, but can also continue to develop normally...There is more than one way to walk down these paths! Of course I know you are discussing the capture...

After 2.... f6 both 3 Bc4 and 3 f5 have scored 100% for white but very few games..... 3 fxe5 is played the most and scores 90% so whats the problem for white ?
Libson: 3. fxe5 scores 90% for white because most people play 3... fxe5 instead of my new suggestion Qe7.

After 4. d4 black should play 4... Nc6
As you say, your last line also gives equality, so Nc6 cannot be considered superior to d6...

I would imagine that if I were a King's Gambit player that I would just ignore f6 and keep playing the regular King's Gambit moves. Bc4, Nf3, etc.
I also like the Nc3 idea after 1.e4 e5 2.f4 f6 3.fxe5 Qe7 4.Nc3
Yes, it seems that Nc3 goes to a fairly equal position, but that's ok since my main point is that black can defend himself well with 2... f6, 3. fxe5, Qe7, and that's been proven by showing that in most cases, black gets an advantage, andin others, the game is about equal.

Marty: here's a game using your variation...
Libson: 3. fxe5 scores 90% for white because most people play 3... fxe5 instead of my new suggestion Qe7.
Your "new suggestion" is known to theory but my database gives only 2 games with 3.... Qe7 , one won by white, the other by black and none of the players were titled players. The fact that no titled players seem willing to play this as black is pretty condemning imo.

Instead of 5.Qe2?! White could play 6.Be2. And if 6...Qxg2 then 7.e6+ followed by Bf3 and d4, in which case, White looks like he has the advantage.
Barefoot_Player
Screw all of those naysayers- the King's Gambit is about risk and ferocity! Development of a knight vs. that of a queen doesn't matter- development is development as long as tempo isn't lost. And this idea is also a perfect counter to 2. Nf3 (...f6 3. Nxe5!? ... Qe7 4. Nf3 ... d5 !? or !! as I like to write it, whether or not it's accurate).
But check out a counter I made and let me know if it doesn't work.
I put in a couple variations to show what happens. If you have a suggestion for a move that white could make, let me know.