If the Irish system is applied, there may be competition between the candidates from the same party. It is possible to adopt a moderate proportional system with ranked ballots, with closed lists, and people choose only from the lists. If a party is entitled to two elected representatives, they will be the two elected at the top of the list. That's what many countries with proportional representation are doing.
A choice has to be made. In my view as an activist for changing the voting system, if you choose one or the other, it will be very good, and perhaps a little better if you opt for the Irish system. However, people will be tearing their hair out, saying that it is too complicated. That’s not true; it is not so complicated if we make an effort to explain it clearly.