Race is always sensitive and I think it is good that you raise the issue for discussion. Even if some disagree with you now, at least when something happens in future, they will look at it from a different perspective.
Frankly, I do think that there are discrimination and both parties are to blame. I have worked in a few companies before I went solo and I had always noted that there were not many Malays in executive positions.
Surprisingly (to me then), was my awareness that most of the Malays working in white collar positions are female. This could be tied to the fact that more female Malays excelled in school but the imbalance was still too much for me to appreciate.
Having said that, I think it is changing. I knew of well educated Chinese girls married to Malays or Indians. I am sure they made their choices out of love and awareness.
The collective resentment of the SG Malays need to be resolved and such dialogues are important. Unfortunately I do not have the chance professionally to work with Malays and I remembered in a previous job when I advertised for a mid level position, I got many applications from Chinese, Indians, PRs (tons of Filipinos and Indians) but no Malays.
So the Malays have to play their part as well, to step forward with confidence and also with more patience.
Having said that, there are perception, amongst Chinese, that Malays are more "difficult" to handle compared to Indians. This is mostly due to the fact that most Malays are highly religious but are (in my humble opinion) behaving too radically.
Take the example of diet. Eating meals with Malays usually end up in halal restaurant. I have gone to Middle East where I entertain Muslims in restaurants serving pork and beer. When I asked them why they were so comfortable, they were very polite about it and said that they did not think that the pork and beer will jump onto their plates. Even if that happens, they can still choose not to eat them.
I know about the halal way of food preparation but this insistence creates barriers in the mind of others. Let me put it this way so that it might be easier for you to understand.
I am a vegetarian and if every time you go for meals with me, I insist on only vegetarian restaurants, will you be eating with me less often? What if I am your colleague? Lunch time is an important time for colleagues to bitch and bond. Will my diet reduce the chance for us to interact?