Let's start off with your signature.
First off, you have one Pokémon there that has 6 letters, one with 7, two that have 8, and two that have ten.
Your trainer card has the numbers 3282-2759-1053. If you add all those numbers, you get 47 (3+2+8+2+2...). If you multiply 4 and 7 together, you get 28. If you split those numbers, you get two eight. Two is also the amount of Pokémon you have which have eight letters.
Furthermore, one of your Pokémon is a Ghost-type: Chandelure. Because Illuminati is associated with the bizarre, and ghosts are bizarre, that Chandelure must know something about the Illuminati. Also, adding 2 and 8 will cause 10, the amount of letters Chandelure has. You also have a 10 on your trainer card number.
Subtract the number of letters you have in your name, so 10 - 9 = 1. But, if you ADD those numbers, you will see that there is a meme based on this question: 9 + 10. You get 21. If you add those, you get three. Alternatively, 21 - the number of letters in your name in your sig (5) creates 16. Add Chandelure's letters and you get 26, when split together, makes two six. When divided, you get three.
Going back somewhere, the amount of letters your Pokémon have in total (no Mega) is 25. When multiplied, you get 10, the same amount of letters Chandelure and Krookodile have.
All these clues must add up somewhere and prove you are...ILLUMINATI!