That's gullible thinking to say the least. Even in USA there is never such a "melting pot" - in equivalent Singapore's steamboat you can still find the very distinguishable toufu, the meat, the fishball, the vegetable and fish, etc all in a pot - not in a broth.
You think a Muslim or Jews would give up his belief and eat pork, a Hindu to eat beef, and a Buddhist Vegetarian to eat mutton, and a Chinese free-thinker - who is legendary to eat anything that flies, swims or has four legs (except a chair) - not to eat beef-burger, char siew, bak kut teh and bak kua - and they will all come after your head.
The PAP government has not forbidden each of the people to hold on to their beliefs and practices while at the same time to respecting others. That's very pragmatic and the right formula. Otherwise the PAP would have lost the trust of the people long before many of forummers are born.
So let the Singhs wear their turbans, the Malays their songkok and tudung and the "others" their NiKe caps or cowboy hats if they want to. Never imagine a Singh to wear a songkok, nor a Malay or Chinese to wear a turban! That will be mayhem!!!
Gurmitt Singh doesn't wear a Turban. And a racial group called the Eurasian, their physical attribute cannot be identified as looking like a Malay, Indian or Chinese. Some of these Eurasians speak dialects too and a host of other languages. Speaking a certain language alone does not mean tribalism per se.
What I am saying is, there can still be different religious groups but they do and eventually cut across racial lines. Indians are not all necessarily Hindus and Singaporean Indians do eat beef. With religious freedom in S'pore, there is NOTHING stopping a Malay from renouncing Islam to marry a non muslim as well.
With rising materialism. secularism and atheism, it won't be surprising IF nominal Malay Muslims were to drop their Islamic roots altogether. The same can also be said of all the other main stream religions as well.
You mentioned USA, what would you call the offspring of an African American who marries a Caucasian? And if that offspring marries a partner of Asian descent and have a child, what ethnicity would that be? The physical attributes of subsequent generations would be so blurred as to make writing down one's ethnic group or race a meaningless and ridiculous exercise.
It is the fixation of the PAP, LKY who is doing a lot of harm by interfering with the natural order demographic shifts and an eventual blurring of racial lines. Basically what he wants is the continuation of a 3rd CHINA with the resultant need for continued NS conscription to maintain that status quo. He is most concerned that the Chinese S'poreans don't speak Mandarin and are speaking English or rather SINGLISH. Likewise, the Indians too would speak SINGLISH as TAMIL is not really a language of INDIANS but a Southern Indian Dialect group. Even the Malay language is not pure either, it could be Berhasa Malay or Indonesian Malay which is different altogether. The Malay language may be abandoned altogether as it becomes irrelevant in the world of commerce and globalisation.
What is so bad if everyone forgets how to speak Tamil, Malay or Mandarin but can speak English well? The Maori in NZ don't necessarily know how to speak Maori either and those who cling stubbornly to their Maori culture of backwardness belong to the lowest economic strata in the country as opposed to those Maori who move forward and adapted to the world of progress.
The problem is LKY whose database and backward vision is caught like a turntable stylus on a groove, replaying the same old line over and over again and refusing to move on as the world changes and progresses.