1. e4 d5 2. e5?! does not transpose to the French Defense and is quite weak. Black will obtain a French *structure* by playing ... e6 but first he can develop his bad "French" bishop outside the pawn chain by 2. ... Bf5. Even better is 2. ... c5! reserving the possibility of playing ... Bg4 later after White plays Nf3. Either way he equalizes easily and is well-placed to play for a win.
I suggest the Spanish Four Knights Game 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6 4. Bb5 as a practical solution to 1... e5. 3. Nc3 can also be used versus the Petroff.
The QID is not a complete defense to 1. d4. What are you going to do about 1. d4 Nf6 2. c4 e6 3. Nc3? The QID is bad versus this move order. Most QID players play the NimzoIndian 3. ... Bb4 here but that is a huge theoretical opening. There is also 3. g3 (Catalan) to consider.
You also need something else versus the English. The Nimzo/QID complex is a noteworthy exception to the idea that most defenses to 1. d4 also work well versus 1. c4.
I think that right now the most efficient way for me to improve is just tactics-- doing tons of puzzles each day, and then having no more than 3 correspondence games to analyze deeply during and after. (unless anybody else has other ideas for quick improvement) To do this I want to get openings out of the way right off the bat-- develop an easy-to-learn but sharp repertoire that can last me for a few hundred points. Here is my idea, and I look forward to any suggestions, comments or concerns:
As white: e4
-Against Caro-Kann: KIA
-Against French: Advance Variation
-Against Sicilian: Smith Morra
-Against Scandinavian: e5, transpose to French Advance
-Against e5: OOPS! Need help here, not interested in ruy lopez or scoth
-Against Other: KIA
As black:
-Against Queen's Pawn: QID
-Against King's Pawn: French
-Against English: QID (not sure how well this works, looking for advice)
-Against Other: QID (again, not sure how well this works)
NOTES: So I'm trying to base my repertoire around the KIA, QID, and French, which I think tend to give pretty sharp games and different types of positions than usual. As I said I'm stuck with ideas for black against odd openings like the English and other, and I don't know if the QID works as a system. Also stuck with what to play as white when 1. e4 e5, I'm looking for different types of positions than the norm, don't really feel like a Ruy or Scotch. Some ideas I had were using the KIA also against the French and Sicilian (but I like using the Advance for the French, as I will be playing it from both sides and I think it would help).
Again, looking forward to any comments!