There's no need at all to "invite" any pap candidates to help form the government.
Running a country is not brain surgery or rocket science or quantum physics. It does not require large amounts of technical ability or knowledge or even extraordinary intellect. What is required is a certain amount of intellect and lots of common sense, rational thinking and empathy/compassion. Of couse, the latter quality is very much lacking currently.
American presidents have ranged from peanut farmers to actors. Even in SG, the cabinet is made up of a host of career soliders and bureaucrats who have not even run a provision shop before. Some of them are not exactly the most intellectual either. Even if you become a ministar and you do nothing, the ministry and the country will still run as always. What they do is deal with a lot of yes or no decisions, or take path A or B, neither of which is likely to ruin the country. There's already a whole host of professionals and experts who are employed to help the government run things.
The oposition candidates at the moment are more than capable of forming the government and running the country. At the very least, they won't lose out where it comes to compassion and empathy for ordinary people. That's a great start in my opinion.