To be honest, I do think a lot of the characters you posted in the picture DO have a resemblance. It's the hair, it all flows in spiley bits, not individual strands. Dunno, but that's just me.

As for the "is anime art?" thing, I think... Well, actually, I have no clue. Wikipedia says this about art's description:
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Art is a (product of) human activity, made with the intention of stimulating the human senses as well as the human mind; thus art is an action, an object, or a collection of actions and objects created with the intention of transmitting emotions and/or ideas. Beyond this description, there is no general agreed-upon definition of art, since defining the boundaries of "art" is subjective, but the impetus for art is often called human creativity.
So, I guess anime is art. Then again, using that definition, I could take a dump on the floor and call it art, as it would inspire disgust.
I think art is anything that strives for beauty/greatness. So a painting masterpiece is art, but a printed set of pictures emulating that work poorly are not art. I consider history the finest poetry, written not in verse but in the lives and deeds of men.
So, if it's done to try and strive for greatness, then yes. If it's Dragon Ball Z clone #23435575, then no.