Without time there is no interaction between two atoms. There is no movement. It's not only about light traveling.
> The only reason for time is so that everything doesn't happen at once. -Albert Einstein
I believe that time is currently defined in terms of the period of a Cesium isotope.
A meter is defined in terms of the speed of light and the definition of a second. A meter is exactly the length of the path traveled by light in a vacuum during a time interval of 1/299,792,458 seconds.
The reason it's prevalent is because it is the most easily understood and acceptable by most people/religions/cultures - not because it is the most accurate or plausible explanation.
Obviously that's going to depend on who you ask in the denomination and what denomination you ask. My experience is that you're not generally going to get a very nuanced view of space and time but occasionally you'll be a little surprised.
Again. Anecdotal. Ymmv
For practical purposes, you may as well just use the word religion, as in "Religion for example has accepted the Big Bang Theory", which is more obviously too general.