Would adding filler/implant into the mentolabial fold elongate it more? (Photos)

My mentolabial fold in particular is my biggest insecurity. I've often gotten comments about my mouth area looking like Homer Simpson. My chin area looks like it's dark from hyperpigmentation, but it's a shadow from my protruding lips. How do I fix this area? My chin is rather long, would adding filler/implant into the fold elongate it more? Would lip fillers exaggerate the fold more? Is a chin reduction necessary or would it ruin my face?