Doflamingo's birdcage, if Kaido gets trapped in it, would tangle Kaido up like string. However, given that the Haki of even Navy fodder can resist the peircing effects of the string enough o not be cut, Kaido himself also definitely could.
The ultimate result if Doflamingo's move is allowed to complete?
Kaido is bound by string.
Would Kaido be able to tear the strong off? I'd definitely think so.