While it's always possible some other descendant will see your query, the best way to find a Swiss ancestor is to do a very thorough search in whatever places he lived after leaving Switzerland, looking especially for these three items: His full name, his exact date of birth, and the name of the town where he was born or where his family had hereditary citizenship. Without those three items, it is usually very difficult to be sure that you have realy found the right man, and not just someone who happened to have the same name! Have you already checked all available censuses, passenger lists, vital records (including those of his children), newspapers, military records, etc.? Have you contacted all other descendants?
Once you have these facts, the normal next step is to find out if the births, marriages, and deaths for that Swiss town are available. In many cases they will be on microfilm (and probably now digitized) at the Family History Library in Salt Lake City. However, for some of the Swiss cantons, the records are only available at the cantonal archives, and some are apparently still in the hands of the local churches. Each canton has its own way of dealing with the birth, marriage, and death records, and there are essentially no indexes except at the local level. So the preliminary research outlined above is essential! Nevertheless, Switzerland has always been a small place, so it is usually possible to find the answers, eventually!