Yes, it seems that our legislation on wages and housing make it harder for citizens to have a home than it is for undocumented immigrants.

I think this has more to do with a "social safety net" than minimum wage. Immigrants often come to the U.S. knowing other immigrants who are already here. This network of friends and family help them get on their feet. They have a community of people to help them when funds are tight. A couch to sleep to on if you can't make rent, an extra plate at dinner if you don't have enough for groceries this week. Many Americans, particularly those who wind up homeless, don't have any sort of safety net beyond what the government provides. Which is to say, almost nothing.

There are already a lot of homeless people working minimum wage jobs. Check any construction site. What's the point of a job if it can't even put a roof over your head?

The problem is a lack of social safety nets and a minimum wage not indexed for inflation, not government regulation against squalor.

It could be both/and instead of either/or. The other angle is we as a society have given up on personal responsibility for each other (i.e. lack of social safety net), and instead look for help from big government, which is notoriously inefficient, corruption prone and scammable.

Government is the framework through which we help each other. My tax money goes in, social services should come out. I will not comment on the unfounded generalization ("notoriously inefficient, corruption prone and scammable"). Government is not perfect, but it is not what you describe.

I would like to ask the parent comment if he thinks there is a more efficient way of managing society and all it's people.

Actually, lets start with defining what "efficient" actually means in this context? That the goverment spends little money? That it is able to do it's duties effectively?