If there are buildings of your own culture, keep them.
If there are buildings of your culture, but say 'Western Greek' after their name, that means they are of your culture but were built by a tribe that used to be hostile - they are OK to keep, they can be upgraded later and the 'Western Greek' bit will go away when you do.
So don't destroy them unless you are absolutely desperate for instant income - you'll get cash in hand, but you'll have to pay more to rebuild them later plus your town will likely give you less income and be less happy in the meantime.
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