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Stars are more likely to split as they form in close proximity rather than merge because they need to get rid of excess angular momentum.Individual stars in galaxies even when they collide with other galaxies almost never collide. Stars are just far too tiny compared with the space between them even in relatively dense parts of galaxies.The only cases of stars merging happen when close binaries evolve and this can lead to some quite spectacular results even for relatively small stars like the sun in close binary syatems. The largest star evolves to the red giant phase first and as it expands it dumps a lot of new material on the smaller star. The larger star then settles down as a white dwarf the second star then evolves to the red giant phase and dumps some material on to the white dwarf which slowly gets hotter until it reaches a critical point and explodes in a really violent thermonuclear explosion known as a Type 1A supernova.
Here is a computer simulation of two Neutron stars colliding...sorry, you cannot view external links. To see them, please
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