I mean... yeah if you start from the assumption that universial broadband access is regressive then it'd be a bad idea but that's making a massive assumption with only one outcome
1.) The market is already providing those services in a terribly inefficient and inadequate way that places the US at a massive disadvantage to the rest of the world which is already light years ahead of us in broadband access
2.) The current system is vastly more disadvantageous to lower income people who can't afford the ridiculous pricing models ISPs provide
A majority of low-income urban families already have broadband access. Most of them would benefit more from lower teacher/student ratios in classrooms, or more frequently scheduled bus routes, than they would from a service that provides most of its value to people who pay monthly fees to Netflix and Amazon.
Giving everyone fiber Internet is an awesome move if fiber Internet is free. But since it isn't, it has to compete with every other spending priority that governments have.
I certainly haven't heard that "a majority of low-income urban families already have broadband access", in fact I've read pretty much the exact opposite. I certainly agree that there are a host of other improvements that need to be made and it would be nice to see taxes spent on things like you stated, but saying that we shouldn't try to improve internet access just because other problems exist isn't any more valid than saying we shouldn't invest in space travel until we've solved all problems on Earth.
1) It is factually incorrect to state that the rest of the world is light years ahead of us in broadband access. Connecting speeds in the US are faster than all but a handful of other countries most of which are very small & dense (like South Korea). See: http://www.akamai.com/dl/akamai/akamai-soti-q413.pdf?WT.mc_i...
Perhaps this misunderstanding of the current state of reality is leading you to reach incorrect conclusions.
1.) The market is already providing those services in a terribly inefficient and inadequate way that places the US at a massive disadvantage to the rest of the world which is already light years ahead of us in broadband access
2.) The current system is vastly more disadvantageous to lower income people who can't afford the ridiculous pricing models ISPs provide