Full text access through my library - the Palo Alto public library - is minimal. There is access to the Gale Academic OneFile database that purports to provide access to "thousands of journals", but in reality the coverage is very spotty, and, of course, includes only Gale titles. The situation in the San Francisco public library is about the same.
I doubt that the situation in Houston, or most other public libraries, is any better. If Harvard, for example, cannot afford access to academic journals, what chance do public libraries have:http://www.guardian.co.uk/science/2012/apr/24/harvard-university-journal-publishers-prices
Access through public university branches may be possible - I am not sure. In any case for most people this would involve driving long distances (from Palo Alto I would have to drive to Santa Cruz or to San Francisco, both about an hour away), so it is clearly not a reasonable substitute to free access.
(As for the rest of your comment, it bears no connection to reality and merits no response.)