The obvious answer, if you're working with a U8 grayscale image, is to have the replacement value be 255 instead of 1. That'll display as white in either the binary or grayscale palette. If the image is I16, then you can use the 16 bit display mapping to have the value 1 mapped as 255 (using the given range option). If the image has a value of either 0 or 1, you could use the IMAQ multiply and multiply the image by 255.
Beyond these, I don't know of any way to modify the binary palette so that the value of 1 is mapped to white instead of red. There is a palette option called user-defined, but I couldn't find anything in the Labview help about how to use it or set it up.