It is not what was asked. There is no problem with morph targets to import. The problem is that when the cloth is simulated it uses only physical material for calculations, but it does not change with morphs, it stays the same, so character mesh and clothes mesh starts overlapping.
So is there a way to sync physical asset and mesh or some other way to make it work properly? The need is in for physical asset follow the mesh or mesh to be physical asset by itself.