I don't personally play the 1. d4 stuff - I play 1. f4. Here is how I would handle this move order.
stonewall attack

I don't think Stnewall should be played against anything black plays.Assuming you are opening with 1.f4 , a later d4 may be or may not be a good move.There are a lot of ways to play the Bird , Stonewall is not the only one.
i was present at a botvinnik sim in the seventies. Actually met the man.Anyway he was white against 30+opponents.After the event the score sheets were looked at and compared.I cannot remember one game ,him playing the stonewall attack!!!This would have been an ideal time to save himself a lot of hard thinking etc ectra.No, botvinnik did not play the stonewall attack against grandmasters or players of similiar strength either!!!

Botvinik played regularly Stonewall.Most of these games have been played in Leningrad and Russian championships and doesn't exist in databases but have been published from Russian magazines.Games again Alatortsev , Ragozin , Rauzer, Sozin,Ilyin Zhenevsky , Kan and others.
From the games that are in databases he has played Stonewall against Flohr ,Capablanca , Reshevsky ,Keres and Averbakh(are these good enough for you?).
The fact that in a sim he didn't play it, is hardly a decent argument.

Botvinnik played the Stonewall as Black, and in the simul he probably had White.
Stonewall Attack = White
Stonewall Defense = Black

Yes BirdBrain but it's the same thing with same plans and same weaknesses against the different opponent set-ups.The tempo up white has seems to do more harm than good for Stonewall but white can adapt his game by choosing to play alot other good things and keep Stonewall for when it's effective.

Michael, I play both sides of it. I don't see the tempo as any issue. I think it gives White creative possibilities. However, I do agree with pfren that the setup (although I like it) is one-dimensional. I give it more credit than he does, but I understand what he is saying. However, that goes back to 1. f4 in general - I mainly play the Stonewall, but there are other options I have in my belt-loop.

I think the tempo is an issue because after 1.f4 black may never play ...d5 adopting either a King's Indian defense setup or a Queen's Indian defense set up with ...d6.In both cases Stonewall becomes ineffective.In fact Stonewall becomes inefective in any set-up with ...d6(even against 1...b5).
As black against 1.d4 it's a much easier to achieve formation and much more effective in many cases although again it can't be played against anything.

With 1...d6, White can play other options, such as King's Gambit or Closed Sicilian, or Pirc Style.
My statement is that 1. f4 does not equal Stonewall, which I know you already know. Therefore, the White 1. f4 player needs to have some other opening scenarios in his repertoire.
Here is another way to handle it, if you are not aiming for a "pure" Bird:
Of course, this requires not minding to play the King's Gambit. BUT - I think if someone wants to really play 1. f4, they should know all the systems that result from it, so that they can play successful approaches.
This might also be a problem with the bird move order.
Simple - 7. Ne5. That is how I handle this type of position, and it is just fine for White. I play this type of position often.