If you wife appeals to the British Embassy in Manila they will review the case before they allow it to go to the UK for the full appeal process. At this stage quite a few refusals are overturned because the Entry Clearance Manager will want to know that their reasons for refusal are rock solid before they let it get to the UK. They would want to make sure their not going to end up with egg on their faces if their decision is overturned at appeal in the UK.
If you didn't show regular contact during the times you have been apart when you submitted the application, then one of their reasons for refusal can easily be overcome by submitting evidence to show this. With regard to the other reason for refusal, you should ask them to detail the reasons that brought them to the conclusion that your wife has ulterior motives in wanting to come to the UK.
Iain.