I did not know that according to the Shariah
i) Sodomites and Lesbians must be killed;
ii) Laughing too much is forbidden;
iii) Female circumcision, which includes the excision of the clitoris, is obligatory;
Can you confirm your source for this? If this is true, then why isn't the Shariah always quoted as another example of absurdness & insensitivity in Islam
The Sharia is absurd and highly insensitive. There is not a single law that is objectively better then any of our secular laws in ALL non-muslim countries. But I did not notice the above Three points in the Sharia.
the First point is implicitly in the Sharia. You will not find it, but if you apply the Sharia you might as well apply point One. This is how it goes: . Gays and lesbians will be eventually killed when caught multiple times (The Hudud - Punishment Limits will be increased every time). But they will not get killed because they are gay. They will get punished all the way to getting killed because they are not married (duh!) as they 'poof' each other as ahmad bahgat would say.
Laughing too much is not explicitely in the sharia, just a 'makrouh - hated'. Mehammad hated it when people laughed at him. He also hated it when people yawned while he preached. So he made those Two acts a 'Makrouh'. So the acts are not in any current sharia that I know of, but if someone wanted to add them to the islamic sharia, they are allowed.
Circumcision: Mehammad stated that the cut should not be too deep. In saying so, he alleviated the damage done by the generations before him, but institutionalized the act for the last 1400yrs. Again, I do not believe this circumcision made it to any sharia I know. But it did make it to the customs of muslims and even muslims who did not practice it in the past.