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@gbj_tester
This is a rare instance of Sheldon Brown not necessarily being the way, the truth and the life. In theory he's probably right, but people who have measured the stuff which actually comes out of factories are much less convinced that one can be so precise about the matter.
The main issue is that 127mm is a huge BB length whether it's JIS or ISO, even most road triples use no more than 118mm, and your problem is compounded by the fact that your particular cranks are sitting a long way out on your particular BB spindle.
The cranks look like Campag; if they are, then try a 110mm or 111mm ISO BB like a Campag Veloce assuming you're on a budget. If they are a Japanese clone marked JIS on the back, try a 107mm JIS BB, e.g. another UN54