Yes, u can get away with it. Probably will last years working fine. The OP asked if it was a problem to make them to work together... no, he can use the stuff mixed w/o any problem BUT as i stated before he needs to check out the length of that bb axle. Because the crank will be off a few millimeters of the chain line for sure.
This is a thing of semantic... can u do it? yes, u can... it is not recommendable?? No it is not (in the long term).
But how many people is using sugino cranks with shimano BBs? I bet there are a few guys using that combination w/o even knowing that the sugino craks are ISO and not JIS. In a matter of fact i met a guy that didn't know and now after 5 years delivering stuff in DC he finds out that he has the wrong stuff working together. His cranks are ok so far no even marks of possible problems in a near future.
I have seen the weirdest combination's of stuff working together when u have no money or you don't have where to get the stuff in your area or country. U have to improvise... I mentioned the problem the OP will have... "the chain line will be off". Campagnolo cranks can work fine in jis... that after 20 years might get a crack that's another tale. Differences are so minimal that is just like putting a shimano wheel in a campagnolo drive train... yes it will work but you will lose maybe 2 gears. so whats the big deal! all the drive train will fail for using it like that? nah... it is not recommended because u'll lose a few gears?? yes, i give you that but when no money comes around u become creative. On the other side...that a manufacturer say something doesn't mean it can't be done, why? liability maybe?
Another sure example is to use shimano cables in a campagnolo drive train...
At least italians do not say explicitly to get only their stuff or it wont work.