A parliamentary system here only would work if people voted by party not candidate so that all parties get representation based on the percentage of the vote.

The problem with parliamentary systems is they lack stability. If no party gets a majority in the legislature, they form coalitions and then appoint a PM. But if the parties in coalitions don't get something for joining they drop put and then a new election is needed.

In any event the statistic of 43% is completely misleading and has been debunked

quote: the authors of this incisive new commentary on American politics claim that most of this widespread speculation on declining party affiliation is simply wrong. They contend that most so-called Independents lean strongly toward one of the two parties and resemble―in all important respects―either Democrats or Republicans. Contrary to expert opinion, only a small segment of voters are truly "independent" of either major party.[1]

[1] https://www.amazon.com/Myth-Independent-Voter-Bruce-Keith/dp/0520077202