I agree with you that tariffs are generally counterproductive and that the US cannot compete on wages for really low skilled jobs with developing countries, but that are not the types of jobs we are talking about in the current economy.
Most US jobs are services based, which will not be replaced by automation completely or outsourced by the fact that the services need to be performed here (think restaurant workers, sales people, etc). People also like to do business directly with other people, suggesting these kinds of occupations will stick around.
For these types of positions, there is a need to support a standard of living given the low wage.
I encourage you to actually read the research here too as empirically there seems to be little negative effects from the minimum wage on the supply of these jobs and also little impact to American labor prospects from immigration (even low skilled immigration as they do different jobs that American workers are not willing to do).