[Last reply from my ID i.e. making space for others to apply law of attractions on this query J]
Two views; pick one from below whose side you representing J
One - Under the Indian family law system (Hindu as context to this query) a second wife has no legally enforceable rights unless the man has divorced his first wife. A legally wedded wife can claim maintenance and alimony under the Hindu Marriage Act as well as the Criminal Procedure Code and even under Domestic Violence Act, 2005; she is also entitled to a share of the property. The Hon’ble Supreme Court has said that the "second marriage" is a nullity and so a second wife has no right which is available only to a legally wedded wife.
Two - The Bharat Ratna Domestic Violence Act, 2005 says that a woman can move court against a person with whom she is having "a domestic relationship within a shared household", seeking protection from abuse as well as maintenance and accommodation. A woman here is interpreted as to be one in live -in and or even a second wife and or even a female housekeepr and or even a maid which is beauty of wide prime facie interpretation power the Bharat Ratna Act was conceived with and gifted to INDIAN HUSBANDS living in homeland or even overseas J.
However, the Republic Act 9262 of the Philippines (also known as the Anti-Violence Against Women and their children (VAWC) Act of 2004) which is what your father is entitled to remedy under backhome in Philippines is gender neutral (means he can also claim remedy against domestic violence against his wife there) unlike India’s gender biased Domestic Violence Act (PWDVA), 2005 where any woman living in a domestic relationship with your father can only claim remedy under our Act which includes among above females also includes you too for all practical legal reasons here in Indian soil. Hence he may be a sitting duck here compared to in Philippines.
BTW, before second wife claims any rights (i.e. sue your father for abandonment), the first thing that has to be confirmed in a competent Court is validity of second marriage with your Hindu father to whom she married during the lifetime of his first wife. Dowry cases etc. will be like side dish when second wife (if think/may like to sue) your father.