Most tea party members tend to lean libertarian, who are generally more socially liberal than Democrats.
Oh really? Ask a hard core libertarian what they think of a minimum wage or government provided social services, then go through all the steps that led up to the recent factory collapse in Bangladesh with them and see if they object to it. That building owner was living the libertarian dream where his government couldn't stop him doing anything he wanted by enforcing pesky regulations.
That's not saying that libertarians are evil, instead it's just pointing out that they are far too naive to understand what evil would rise unopposed in the sort of society they are advocating.
I'm a libertarian and I can tell you that if the federal government does not have explicit permission from the Constitution to do something, than it is supposed to be unconstitutional for them to do so. At least that's what the 10th Amendment says. It also says that those powers not given to the federal government are reserved for the states. The 10th Amendment is in the Constitution, by the way.
So, in using your Bangladesh example, it would be up to the state and local governments to handle the regulation of the business listed in your example. If the building collapsed, then it's your governor's fault, not the president's. That's the beauty of how it's SUPPOSED to work. If your state has lax regulations and you don't feel safe at your job, you are free to move to a state that has stricter regulations. Same thing goes for health care, speed limits, education system... everything that the federal government is not given permission to regulate.
(Of course, there is some wiggle room with the Commerce Clause, but if a company exists entirely within a single state and does all their business in that same state, the feds have no Constitutional authority to regulate them until the Constitution is amended giving them that right.)
You said to ask a libertarian. I answered.