Noble idea, but it won't go over, mostly because bowling is more recreational for many instead of purely competitive. Other sports aren't really comparable because you have to wear other sports' equipment in order to actually perform the task (i.e., baseball uniforms protect against abrasions and keep regular clothes from getting torn, basketball uniforms deal with larger amounts of sweat and allow especially free movement).
Golf requires certain attire at many golf courses, but again, you're dealing with a wealthier demographic in that sport.
I would, however, like to see people use some common sense. There's a woman on my league that literally bowls in what many women and men wear as pajamas -- a torn up, tattered t-shirt with the neck stretched out, and fuzzy flannel pants. She looks like a tramp.
Jess