Hang on to the strap. I hated mine too. I ordered a Gunny strap to replace it and while waiting for my Gunny strap to arrive. I actually bleached the "original" strap that comes with the 1950. Trust me, the effect is quite good.
Please read the post "How-to make a strap >> VINTAGE [Tutorial by Tanfoglio]" for the details. Give it a shot, all it will cost you is 15 minutes and some bleach