It would fail at every point.
If we want to get all serious and shit about this then the theory states, in one way or another, for this to even come close to existing, then the "portals" would be two infinitesimally dense regions of mass. Regions, not points, with a great enough mass to bend space time. This could, supposedly, connect 3 dimensional space.
So basically the mass of those two regions would bring them together as one region, and the pole or whatever would just get squeezed and succumb to the, now, one region of infinite mass and finite volume.
I never really gave this area of astrophysics a great deal of attention. It seems like a pseudoscience to me with really arbitrary math behind it. Math taken from other respected areas of the field.
Regardless this is just some illustration by a guy with a very loose understanding of these "concepts". It's tom foolery!!!