People need to get that first job. That first job leads to skills, experience, knowledge of how to interact with coworkers, and so on. Few people start at minimum wage and then get stuck there. The ranks of the poor are fluid.
This is one reason why I’m against the minimum wage - by making it harder to get that first job, you make it increasingly difficult to get into the employment market.
I would be less opposed to allowing each city and town to set their own minimum wage. But a one-sized fits all approach doesn’t account for local differences. $15 federal minimum wage will drive low-wage work to the black market and the wages paid in cash.