this is actually normal LSD whine. the reason you have it is because you didn't add friction modifier to the fomoco fluid. it's fine. many of us have run like this for years, and it's never been an issue. it should lessen when the trans gets up the temp and whine its loudest when it's cold.
this happens because our trans fluid is used to lube both the gears and the LSD. the tricky part is that if you make it go away by adding friction modifier, the fluid will become too slippery, and your synchros won't grip tightly enough when you shift, and then you go back to the grinding 3rd gear crap that caused you to change trans fluid in the first place...