There is a race problem, that's the main reason why I had more Chinese friends in Malaysia than Malay or Indian. Not that I have anything against them, but getting along with Malay is very difficult, mainly due to their religion. Well, you would probably argue now it's the religion and not the race, but basically all Malay are Muslim so you can "transfer" this.
Didn't know many Indians there, only a handful - they are also a different kind of folks and usually from the lower income bracket (plantation workers etc.), so I hadn't much contact with them.
Go out in KL and you will notice most (local) people there are Chinese, they party like Westerners, perhaps have more cash to spend and live more freely than e.g. the Malays, something which is more compatible to Westerners. As well their way of thinking is closer to ours, not the same of course, but close.
Close personal friendship depends of course on the sharing of interests, not all but at least some.
Interests like football or baseball for that matter are a generalization, though true they don't necessarily apply to the individual - and as mentioned above there can be other common interests (he/she may like baseball, I may not like any sports but we both like to go to the movies, disco, etc. etc. or both like to listen to classical music - whatever).
But I do agree you have to be carefull what you talk about, perhaps only with a person you know for some time and well enough you can chat about "sensitive" subjects.
Back to the Malay example you bascially cannot talk about the religion (especially if you are a kind of against Islam), they will feel very upset.
If it's a business partner that's it, you just disqualified yourself.
But if they are like a good friend you may touch on the subject, still being a bit carefull however and not stretching it too far.
I haven't been in Taiwan that long but from my former experience I think getting along with locals here shouldn't be a problem and I haven't noticed any issues you can't really talk about.