The visa situation is a little complex. Alison is a US citizen and I'm a Singaporean Citizen. The swiss consulate website that we were referred to is quite complicated. There were the required forms available, but we had no idea what documents to send, how to send the payment, what is the payment, who needs to send forms...
It turns out that Singaporeans do not need any visas, either short term or longer than 3 months. All I need to do is to show up at IMD and they will take care of the residence permit. Apparently I will need a residence permit for long term stay. Alison, however will need a visa for stays longer than 3 months. After several email exchanges with the consulate in Chicago, we got an idea of what to do. Alison will fill in a "family reunification" visa, and along with it, submit our marriage certificate, her passport, my passport, my permanent residency card and a letter of enrollment from IMD. At least we have an idea now of what to send. They estimated a turn around time of up to 12 weeks.
As we start the process to obtain our visas, I will post a more definitive entry on how we obtained our visa.
Wish us luck!