I don't know if there is a reason this isn't possible or if I am missing something, but I can't get the plane set of any grid type but isometric to align with each other.
When I make an isometric projection of a cube every plane of the grid just aligns and all the faces of the cube can join like this:
But when I make a dimetric projection the planes don't align with each other and the faces of the cube can't align with the grid:
I know I can just join the faces together anyway, but then the cube wouldn't align with the whole plane set.
I don't know if this is possible, but I think a solution would be to shift the plane consisting of the first and up axis, and the plane consisting of the second and up axis down or up to align with the plane consisting of the first and second axis.
I also found this topic about the same problem, but the solution given there is to alter the spacing of the up axis instead of shifting the whole plane. This would also alter the proportions: