Sanity check for my opening repertoire.
You don't need a repertoire for quite some time. Just follow the general opening principles, and you'll be fine. No reason wasting time on opening theory when your opponents will deviate fairly early nineteen times out of twenty.
The KID is extremely theory heavy, compareable with the Najdorf. If you truly want it you can do it though.
"Every now and then someone advances the idea that one may gain success in chess by using shortcuts. 'Chess is 99% tactics' - proclaims one expert, suggesting that strategic understanding is overrated; 'Improvement in chess is all about opening knowledge' - declares another. A third self-appointed authority asserts that a thorough knowledge of endings is the key to becoming a master; while his expert-friend is puzzled by the mere thought that a player can achieve anything at all without championing pawn structures.
To me, such statements seem futile. You can't hope to gain mastery of any subject by specializing in only parts of it. A complete player must master a complete game ..." - FM Amatzia Avni (2008)
"... a good opening book can open up new vistas that you would probably not discover for yourself. ... I feel that the main reasons to buy an opening book are to give a good overview of the opening, and to explain general plans and ideas. ..." - GM John Nunn (2006)
"... For players with very limited experience, I recommend using openings in which the play can be clarified at an early stage, often with a degree of simplification. ... teachers all over the world suggest that inexperienced players begin with 1 e4. ..." - IM John Watson in a section of his 2010 book, Mastering the Chess Openings Vol. 4
He went on to suggest possibilities for how inexperienced players might react to the Sicilian, French, etc., as well as possibilities for how inexperienced players might react as Black to 1 e4 and 1 d4. Pete Tamburro wrote his 2014 book, Openings for Amateurs, in a similar sort of spirit, saying that it was for "club players." ("... the outside boundaries for the group will be defined here as between 1100 and 1900, or people who want to be there.")
http://kenilworthian.blogspot.com/2014/05/review-of-pete-tamburros-openings-for.html
If you started playing this June and are already 1900 on lichess, you probably don't need any advice : you're doing great by yourself 
- or maybe still listen to what the guys with the red letters say, but follow your own path -
The same idiotic idea that I hear everybody else under 2000 say.
The "Reversed Dragon" and the "King's Indian Attack" are LIGHTYEARS different than the Dragon (or Accelerated or Hyper-Accelerated) and the KIA is nothing like the KID.
Many openings are dependent upon commitment by the opposing player. This, for example, is why the Dutch (1.d4 f5) is significantly better than Bird's Opening. In the Dutch, e4 has been weakened by White's first move, 1.d4. It's one of 3 moves that prevents e4 by White (without gambiting that is). After 1.f4, Black has not weakened e5, so he can play say, 1...d6. This is why the Bird is significantly weaker, not to mention that 1...d5 is also strong as many openings, like the Dutch, having the extra move doesn't do you much good, you are still in a defensive situation!
As for the two openings you mentioned, Black doesn't have the luxury to play the Yugoslav Attack against a Reversed Dragon, or the Maroczy Bind against the Reversed Accelerated Dragon.
Also, if White plays 1.c4, and Black responds 1...e5, and White plays 2.g3, the move 2...Nc6 stops White's plans as 3.Bg2 is an error here. After 3...f5! 4.Nc3 Nf6!, White has NOTHING. Instead, after 1.c4 e5 2.g3 Nc6, White needs to play 3.Nc3. The reason is because now if 3...f5, White hasn't committed his Bishop to g2, and after 4.Nf3 Nf6, White has the strong move 5.d4!, answering 5...e4 with 6.Nh4! (This can't be done after 3.Bg2 as the Knight will get trapped via ...g5). Now after say, 6...d6, intending 7...g5, White has the g2-square for his Knight, the Bishop can be developed classically to d3, and White can undermine g5 with h4 and once Black takes or advances, White has a beautiful outpose for the Knight on f4.
All of these ideas are utter nonsense in the Dragon as Black.
Along the same path, the KIA is nothing like the KID. For starters, Black is not forced to play a "Reversed King's Indian", and if he does, the Reverse Fianchetto and Reverse Saemisch give Black complete equality, and the Reverse Classical is completely unsound, so play will never be similar to the normal KID. Also, in lines like the KIA vs French or KIA vs Sicilian, White almost never plays f4 like he does f5 in the KID. h4 is far more common - For example: 1.e4 e6 2.d3 d5 3.Nd2 c5 4.g3 Nc6 5.Ngf3 Nf6 6.Bg2 Be7 7.O-O O-O 8.Re1 b5 9.e5 Nd7 10.Nf1 a5 11.h4! Ba6 12.N1h2 b4 13.Ng4 a4 etc.
Can you play that combination of openings? Sure! But to think that it's a shortcut and that you'll have to learn far less theory by playing the English and thinking you can mimic your Black game is utter nonsense!