A major issue with this is the way the eye adjusts colour and brightness according to ambient lighting.
Many people will be familiar of the viral photo at https://en.wikipedia.org/wiki/The_dress . This is an overexposed picture of a blue dress with black lace, which many people perceive as white with gold lace based on the colours recorded by the camera.
This is a question of context. People tend to adjust their perception of colour according to the ambient light. Therefore anyone present in the room with that dress would adjust their vision accordingly to tune out the excessive strength of the ambient light (perceiving it more or less as "normal" light) and therefore perceive the dress correctly as blue and black.
As the moon will be the main source of light in the sky, vision will be adjusted to perceive it as whitewhitish (perhaps pink or magenta) and reasonably bright, regardless of the actual shade of the moon's surface.
The normal way to perceive a red sun or moon is when it is just on the horizon. In this case, vision adjusts to the bluish ambient light from the sky and perceives the sun or moon to be redder. This is due to atmospheric absorption/scattering of blue and green light away from the direct path of sun/moonlight because of the increased thickness of atmosphere through which the light must pass through due to the low angle.
In other words, the way to make the moon look red is not to make the moon itself red; it is to introduce blue backlighting across the rest of the sky.