Imagine a world with no minimum wage. Imagine you work all day in the fields picking fruit, backbreaking, in the hot sun. Imagine you get paid not much for this. Everything else still costs the same as it does now, you just don't get paid enough to have a car, or a house, or even make electricity bills each month. You get two jobs. Even three. You still barely make ends meet working 100 hours a week.
Is that a good life? Is that a life you want to live? Is that a life you want your kids, friends and neighbours to live?
Minimum wage is not about a government or king setting a bar that there not be any jobs below a certain price/threshold.
It is about a government (or king) setting a bar saying "for people live a decent life in this society, they must earn x dollars per hour. Paying them less than that is closer to slavery than a successful society, and we want to treat people humanely and give them a chance at a decent life with running water and hot showers."
(FWIW, Government (or king) needs to do this because otherwise employers would just pay the least they could possibly get away with so they can maximize profits)
If you're against a decent minimum wage, you're saying you're perfectly happy for your family, friends, kids & neighbours in your society to live in squalor and have a horrendously bad quality of life. Forever.
That's not a nice society to live in.