like/unlike are prepositions and thus must be followed by things that are nouns/noun phrases.
the first one is correct because you are comparing the noun phrase "Dan of Utah" to "Patrick". Not "of Utah" to Patrick.
Note that "Dan" is the main noun and "of Utah" serves as a modifier.
the second example is incorrect because "in Utah" is not a noun/noun phrase. Moreover, we are comparing "in Utah" to "Colorado".
Hence,
...
the first one is correct because you are comparing the noun phrase "Dan of Utah" to "Patrick". Not "of Utah" to Patrick.
Note that "Dan" is the main noun and "of Utah" serves as a modifier.
the second example is incorrect because "in Utah" is not a noun/noun phrase. Moreover, we are comparing "in Utah" to "Colorado".
Hence,
...
