Nope, not been to all three of these cities. 
Not just Indian Americans but Asian Americans in general, including Pakistani Americans, are thriving. They are doing really well economically. And as Asian Americans, they are considered by many as “model minority” so to speak so even the stereotypes about them are mostly quite positive and definitely outweigh negative ones. The stereotypes are more like Indian/Asian Americans are really into science and tech; are very studious; have super-ambitious and driven parents (“tiger moms,” anyone?); and are quite good looking too (if you happen to be a female that is :D).
I think you highlighted some good examples of famous Pakistani Americans like Nadia Ali and Faran Tahir etc. who are positive members of society. There are lots of similar great examples too of course. Here, I would especially like to mention Bapsi Sidhwa, who is probably one of the pioneers of South Asian-origin female authors who write in English. (She reportedly described herself as a “Pakistani-Punjabi-Parsi” American woman.
) As far as literature stalwarts are concerned, I would rank her at par with Anita Desai, another great female writer of South Asian/desi background who needs no introduction, of course.
There are currently not one but two directly elected Indian-American governors, Governor Nimrata Nikki Randhawa Haley of South Carolina and Governor Piyush “Bobby” Jindal of Louisiana. Both of them are quite beloved and popular governors, and 42-year old Bobby Jindal, a graduate of Oxford and (Ivy League) Brown University, is a shining star who is already seen by many as a possible future President of the United States. (Although within the Republican Party, he could face stiff competition from Marco Rubio, a Mexican-American Senator from Florida, in the primaries, and many Democrats of course would first want Hillary Clinton to become the American President in 2016. :D)
I don’t think there is really discrimination or negative perceptions as such about Asian Americans or Indian Americans. Not everyone is completely perfect of course so a few bad apples should not be used to characterize any country that has millions and millions of people. (The US population, for example, is over 310 million people!) Otherwise, people can have a field day describing all the problems and fault lines that exist in South Asian countries too!!
I completely agree with your last point about minorities faring and being treated so much better in the West than Asian countries and Persian-Gulf countries. The latter are probably the worst when it comes to that but I was surprised to read some time back that even in Japan, which is a fairly developed country and well-integrated member of the international community, migrants face quite a bit of prejudice, although things are probably getting better there of late I think. 
Ok, back to topic. Nina Davuluri is not only beautiful but incredibly smart too. She apparently majored in Brain Behavior and Cognitive Science in undergrad, won several college and state-level academic distinctions, and is currently applying to medical schools so the $50,000 scholarship she won will definitely come in handy too. All in all, a very positive person. :k: