There are a few athiest renderings of this practice (rather than teaching) floating around. It's not my cup of tea but I have seen them.
However, I will point this out. The point is to be. To experience all of reality: to stop avoiding the things you don't want to experience, and to let go of the things you want to go on forever.
When you say, "the religious aspects are a turnoff", those are fantastic shadows to investigate. And I don't mean, investigate them as in some sort of Socratic dialogue with yourself. I mean getting in touch with the feeling of being "turned off", locating the physical sensation that give rise to your mind's interpretation as the emotion of "turned off", and really watching it with your mind without blinking. These uncomfortable feelings are where you'll find the most intense insights about yourself. And it doesn't matter whether you yourself believe the religion, or whether the religious aspects are an illusion or not, because the feeling of being "turned off" is real for you. That's all that's needed to start.
However, I will point this out. The point is to be. To experience all of reality: to stop avoiding the things you don't want to experience, and to let go of the things you want to go on forever.
When you say, "the religious aspects are a turnoff", those are fantastic shadows to investigate. And I don't mean, investigate them as in some sort of Socratic dialogue with yourself. I mean getting in touch with the feeling of being "turned off", locating the physical sensation that give rise to your mind's interpretation as the emotion of "turned off", and really watching it with your mind without blinking. These uncomfortable feelings are where you'll find the most intense insights about yourself. And it doesn't matter whether you yourself believe the religion, or whether the religious aspects are an illusion or not, because the feeling of being "turned off" is real for you. That's all that's needed to start.