While I do not fall on the recorded Autism spectrum. The way they make Sheldon would be very insulting to people with these problems.
While having Asperger's can bring some problems it can also bring strengths and pleasures (e.g. Aspie "special interests" can be great fun, almost like being in love, but with a topic rather than a person). I wouldn't refer to Asperger's simplistically as a "problem". It is a condition with problems and advantages - and also some differences that are just plain neutral.
Referring to the autism spectrum as unqualified "problems" is part of the problem. Asperger's isn't a defect, it is a difference with positives and negatives.
PS: quite a few people on the spectrum think Sheldon is great. At least we get a vaguely recognisable Aspie character who has some strengths (genius, can be very generous with money) and obvious weaknesses (not all of which are core Aspie weaknesses - e.g. his narcissism is more Sheldon than Aspie).