Indian food in Malaysia/Indonesia/Singapore is Southern Indian, mostly Tamil, not Bengali but spicier like British Indian food. Japanese Indian food is Bengali by way of Britain with no hint of spiciness. Tex-Mex for food snobs is called Southwest cuisine. American pizza is very different from Italian and good enough to have a small niche in Italy itself.
I'm not really familiar with US-Chinese but you're wrong about Tex-Mex and at least one kind of Italian-American food. I'd be surprised if you were wrong about US-Chinese food because UK, DE and IE Chinese food are all awful.
In English an ethnie's way of cooking is a cuisine not a kitchen.
"Tall" NY-style pizza can be found in Italy as a kind of fast food, especially around Milan, but it developed independently.
Cuisine in Italy is extremely regionalized. Pizza has only been a "national" food for perhaps 50 years. At home we cook pizza perhaps once every week or two, but when my grandparents were young, it wasn't even a word here in the North. 30 years ago pizza was never in my school's menu, while nowadays they have it.
On the other hand, I have never tried Chicago-style pizza, because it's just not a thing here. I am actually really curious about it, and would like to taste it---perhaps unlike most of my fellow countrymen.
I'm not really familiar with US-Chinese but you're wrong about Tex-Mex and at least one kind of Italian-American food. I'd be surprised if you were wrong about US-Chinese food because UK, DE and IE Chinese food are all awful.
In English an ethnie's way of cooking is a cuisine not a kitchen.
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