I don't understand that first comment, what did Britain and Japan consider?
That the first-born will be the heir, even if female.
think most people in the Netherlands like their king.
I am sure they do. Especially in western monarchies like the UK and the Netherlands I don't doubt that they sincerely love their kings and queens (you don't put to death people who disrespect the king for one so I don't think it's out of fear/conditioning).
But the arguments still stand, I believe. As you guys said, you are emotionally approving of it, not rationally.
While there's no majority for any political party, so when we'd have a president less people would feel presented by him (... her).
I am not sure about the political system in the Netherlands. You have a Prime Minister elected by the parliament, like Greece?
A President (an actual president, not a decorative one), would seek a majority to rule. If the party s/he comes from is not enough to elect a president, s/he'll seek to form a coalition by making compromises to represent more people and win a majority. And even then, s/he'll have to respect the Parliament. The government runs the country, but the parliament drafts the framework in which the government is free to act. And the parliament represents more diverse political opinions, so overall, it does represent the people much better than a monarch would ever will (and that's why so many countries revolted against them in the first place).