This is very interesting. We have had similar requests for alternatives for gluten and other allergens.
What I (and, possibly, they) could really use would be something that would suggest an alternative recipe or a related dish that works better without substitution-- e.g, a similar recipe that doesn't rely on the meat or cheese for flavor, or which doesn't rely heavily on bread/flour/sugar/etc. as a base ingredient.
I expect it'd be more difficult to reliably identify similar recipes AND restrict the search to avoid some set of ingredients, but it would be a very useful resource for people looking to omit certain foods without resorting to (often expensive or unhealthy) substitutes.