Wow, a reply to this!
Seriously, thanks for taking the time to make a thought-out response.
Oh, I agree, the animation/comics produced in Japan is inherently different than the ones produced elsewhere due to cultural differences... but I was arguing more against this idea that there's no crossover between 'Anime' and 'Cartoon'; and insisting that there IS bleedthrough, and there's a lot more of it than you think.
I have two examples, the first is one Felipe Smith. He started out as an 'OEL' artist, but his work got noticed by a Japanese publisher, and now he lives and works in Japan, and is published by a Japanese publisher - [link]
...but he's not Japanese
, as you probably guessed by his name, what would you call that?
Another example is the currently-running anime Basquash. I don't like it all that much personally, but that's besides the point. It's a creation of Shoji Kawamori, the guy who's directed nearly every (if not all) Macross series; and Thomas Romain, the creator of Code Lyoko. There's also several French people working on the project.
Finally, Teen Titans and Transformers Animated. Both use an anime inspired style. Transformers Animated has outright tributes/visual references to Japanese mecha anime, from Starscream transforming just like a Valkyre from Macross, or a sequence where all the Decepticons transform one-after-another, and the entire thing resembles one of the sequences from the various Brave (GaoGaiGar is the most famous of these) series, lastly, amongst others, there is a Transformer who's clearly based on Lagann. While I wouldn't call Transformers Animated 'anime' (1. Anime fans would eat me, 2. It's more 'cartoony'
... it effectively uses elements of it to enhance the already-existing Transformers franchise.
tl;dr - Crossover of the two creates new cultural products. Everyone wins!