Essentially when connecting from KLM, Kuwait, Qatar, Emirates, Cathay etc to a low cost airline and vice versa if you miss the connections you have no recourse. Neither airline has any responsibility for you. You will probably find yourself buying a completely new set of flights. In years gone by airlines used to have a little bit more flexibility, but now they don't.
If you book a flight with 3 hours connection, and the Kuwait airways flight gets in late at midnight, its a case of tough luck.
I've connected from Terminal 1 to the Domestic, Terminal 2 and Terminal 3 and visa versa hundreds of times in the last 4 or 5 years and despite some very very close shaves have always managed to make it. I've used all of the low cost airlines, but fly in the knowledge that it could be cancelled or delayed without any communication whatsoever. Philippine Airlines tends to be more reliable, but you can still expect delayed flights, lack of communication and no sympathy or compensation in the event of missed flights.
On occasions when I've wanted the flexibility, I've stayed in hotels in Manila.
The Manila Airport Hotel is a very good place to rest your eyes overnight between connections, and in fact they also offer day rooms if you just want to rest for 5 or 6 hours between flights. You can walk to the hotel in about 5 minutes from terminal 1. It's clean tidy and basic.
If you are worried, book the last or earliest in the morning and take a few hours here to take a shower and relax.
www.manila-airporthotel.com