It's surely up the individual. Both one's practice of religion and art (even the drawing type) are very personal expressions. So there is no right or wrong answer.
That said, the idea that martial arts and religion are separated to begin might be a fallacious statement to start with. As stated in the other thread, many martial arts/physical exercise forms were either designed by their creator to have religious aspects to them or they acquired them over time.
aikido: Omoto
Japanese karate: Zen Buddhism
Shorinji kempo: Buddhism
yoga: Hinduism
Granted, many today practice these arts without the religious aspects, which indicates it is a personal thing as I first stated.
This is a GREAT point and a very enlightened attitude.