I too second this as Combustion creates ash, and the whole ash to ash thing in the first part appears to be talking about a Rebirth of sorts.
Not to mention the final thing at the end talks about a "Wish" as in a "Dying Wish" the condition required to be revived by the combustion.
The part about "Genetic memes" could either refer to the Meme -iness of the card AND/OR That a "Meme" is an idea passed down. With the actual word "meme" based on the pattern of "gene" according to a dictionary.
The "Heretical Schemes" part probably refers to the "Heretic idea of cremating someone so that they may be born again in a new body. Thus, a rebirth.
The last two lines refer to the apparent recycling of their ash into either themselves again or similar beings whom inherited their power and dreams i.e. Their stats, and their "Wishes"
Thus the riddle is about the recycling of the bodies' ash into another life that shares their Dreams and Powers and therefore, the answer is:
Is what I meant to say, but oh well... Consuming Rebirth is cool AF anyways.
Also @paralykeet Great Riddle!