The best response that explains why pushing the south poles of two magnets together provides a good model for the fusion of two hydrogen nuclei is:
The positive charges of the nuclei make it difficult for the nuclei to fuse, just like the repulsion of the two magnets.
In the case of hydrogen nuclei (which are positively charged due to their protons), there is a repulsive electrostatic force between them when they approach each other, similar to how two like poles of magnets (south-south) repel each other. Overcoming this repulsion is necessary for fusion to occur, which typically requires very high temperatures and pressures to allow the nuclei to get close enough together to fuse.