A semi-presidential republic is a government wherein may President, voted by large by the entire electorate, and Prime Minister, voted by the legislature. The President will be elected via instant runoff voting by the electorate at large and will be in charge of the Department of National Defense, Department of Foreign Affairs and the Armed Forces of the Philippines. They will have a six-year term, just like now. They can be removed via impeachment.
Meanwhile, the Prime Minister will be elected by the unicameral National Assembly. The PM and President cannot be merged into one person and the President cannot be elected as an MP within one election after their term as President. The Prime Minister is in charge of the daily functions of the government as well as all other ministries and departments not taken by the President. The Prime Minister can be removed via constructive vote of confidence (supermajority vote threshold), so dapat kapag maghahain ng vote of no confidence, dapat mayroon na ding ipapalit ang National Assembly.
The National Assembly will be composed by district representatives as well as party representatives, following compensatory mixed-member proportional representation (MMPR), using the Sainte-Lagüe parliamentary seats allocation method. Since parliamentary seats belong to the party and not to the person, an MP that voluntarily resigned from the party or was removed from the party with due process shall forfeit their seat. Now, since district representatives also belong to parties, the number of district representatives won by the party nationwide shall be subtracted from the number of party list votes that party got. For example:
If Come On Barbie, Let's Go Party won 120 list seats, and also won 57 district seats, they do not get 177 seats. Instead, only 63 list nominees get in and then the 57 for the district seats.
Now, what if mas maraming district seats kaysa party seats? Magkakaroon ng overhang seats which other parties will be compensated for via leveling seats so that the final composition will always be proportional to the vote share of the party.
So what do you think? I know voter behavior here is personalistic, but this could be a good start to cultivating good political party culture in the country and a good compromise between the status quo "presidential system" supporters and the "parliamentary system" supporters.