Is the simple solution to allow the Schism Mind to act first doing whatever it was planning to do, than D Door as normal as the final action?
Yes. This is entirely possible. By D-Dooring as your second standard action, you can fully profit from Schism.
If I recall correctly [MENTION=97602]Sekhmet[/MENTION] mentioned that earlier.
Each of these powers provide text that trumps general rules.
Well, if you consider the fact that Schism gives a second standard action as something that trumps general rules, then every power and spell trumps general rules one way or the other.
Feather Fall trumps general rules because otherwise you 'd free fall, Fly trumps general rules because otherwise you wouldn't be able to fly, Stoneskin trumps general rules because normally you 'd take full damage and so on and so on......
...D-Door lets you teleport while normally you can't

AND does not allow you to take any actions you have left after you have used it, while normally you can...
I think that this "trumps-general-rules" hunt doesn't serve us much...
And we all know that special cases trump general rules.
1. independence or freedom, as of the will or one's actions: the autonomy of the individual.
2. the condition of being autonomous; self-government, or the right of self-government; independence: The rebels demanded autonomy from Spain.
3. a self-governing community.
Do I need to explain context as well?
What you need to explain is why you think D-Door leaves one's mind nonfunctional??? Cause that would be the only way out of the dead end you've created yourself.
I've asked you twice, but you decided to roll your reflex save... both times
If you cannot prove that D-Door leaves one's mind non-functional... bogged... or whatever have you..... you have no case.
And you have no case because D-Door ONLY mentions that you cannot take actions. Moreover I provided you with three examples that prove how well the mind works after D-Door.
Perhaps I'm starting to get repetitive, but I believe that you fail to see the importance of your unsupported assumptions.
IF D-Door mentioned somehow that you lose actions because your MIND fails to follow through, then you could argue that Schism's second brain could do the job.
Unfortunately for your argument, D-Door simply mentions you lose actions without explaining why. And since we have proven that the mind works just fine, we could, if we wanted to, start looking elsewhere for an explanation.
The way I see it, could be anything from a nonsensical space-time "lag" due to the teleportation's distorting effect (whatever...) or simply a rule with no explanations whatsoever, only present to bog down an otherwise very powerful spell.
No matter how autonomous Schism's second mind is, (And we have provided you with well supported arguments that it is not as autonomous as you picture it), it is not the solution to the problem of being unable to take actions.