In the book, Animal Farm, what do you think would have happened if Snowball would have gotten rid of Napoleon? What would Snowball do differently?

Let us start from the proposition that Snowball would not
likely have gotten rid of Napoleon.  It does not appear to be in Snowball's nature to
use assassination or political exile to effect his goals.  If anything, Snowball would
likely decide that where a difference of opinion existed between two animals, they
should each present their arguments and the animals of the farm would decide whose
argument had greater merit.

I think we can safely say that
in the absence of Napoleon, Snowball would not have arranged, nor permitted, the
alteration of the animals' code of laws. 

Also it is
unlikely that Snowball would have utilized the dogs to maintain order (to say nothing of
ordering the rather grisly executions they commit as the story goes
on.)

Ultimately, Snowball would have endeavored to prevent
the return of the farm to what it was at the beginning, and what we know it becomes at
the end, as a result of Napoleon's rule.