Fundamental rights work, and are consistent, as long as one sticks to the so called negative rights or "first generation" rights, e.g., free speech, right to life, right to no arrest without a fair trial, etc.

For example a negative "right to internet access" simply means that the government can't bad you from using the internet, i.e., laws like this would be a violation. Neither it, nor anyone else, is actually obliged to provide you with a computer or any kind of ISP.