But the risk is that you end up with someone like Trump. After all he was not a politician and had no political experience when he decided to run for president
That's only in a presidential system.
Ireland has a president, a parliament, and a prime minister. The role of president is basically to represent Ireland abroad, to consult with the Council of State on bills referred to him/her for signing as to constitutionality, to refer bills on to the Supreme Court if there seems to be an issue.
Here is the current incumbent
images.app.goo.gl/gpbKkAKhxEWKeg6m8
all gussied up, charming Her Maj.
He has a lot of fans -
images.app.goo.gl/ksdgx92dBEsEL2MC9
He is a former Labour politician and minister in several governments who writes poetry in his spare time.