The way I see it your local team is meant to represent you in the same way your country does. If you feel they don't represent, fair enough 'support' a club that does.
However if the lack of identification with the club comes in the form of them not being as good as club X, Y or Z, then I obviously don't agree with 'picking'.
Also, "I enjoy the way they play" I find to be the most tiresome excuse ever. Especially from new found Chelsea supporters from the Mourinho era.
Personally I support Aberdeen, through birth in the city, and Lamontville Golden Arrows (as well as heart felt regional support for the other KZN sides) through living there.
Don't identify with any of the clubs around me at the moment, if I had the money I would go check out Colliers Wood United and AFC Wimbledon, bit alas...