How does that even square? According to your initial premise, your problems are not deaf people's problems (except insofar as they choose to act on empathy they may feel), and they should do everything in their power to maximize their access, even if it costs you. If you want to live in the state of nature, everyone has the right to trample on everyone else. Mercifully, our social structure still is more in line with Rawls than Rand.
I consider Rand's political theories misguided, but it's certainly not "the state of nature", nor is that aneeshm's position. Claiming so is just flamebait, not having an honest discussion.
"Flamebait" was certainly not my intention. I may be naive, but what is the difference between a society comprised of people with no obligations toward each other and the state of nature?
Edit: For instance, for Hobbes, that pretty much is the definition of the state of nature, in which everyone has the natural right to their own self-preservation and goals. The rise of sovereign power is often conceived of as the enforcement of obligations that override natural rights to complete liberty (through something that is probably even more properly called "thuggery" than deaf advocacy groups' political actions).
Objectivism (Rand's philosophy) didn't defend a society comprised of people with no obligations toward each other. Like most libertarians/classical liberal philosophies, it supports the NAP[1], as well as defending the necessity of an impartial law system.
It just defends negative rights, instead of positives ones, not a lack of rights and obligations. See Isaiah Berlin's Two Concepts of Liberty[2].
EDIT to your EDIT: in Hobbes' state of nature, everyone has the right do to whatever one thinks is necessary for one's own preservation (including, say, killing others). For Rand, one has the right to not be attacked by others, even if that goes reduces the others' chances of self-preservation. The two are very different, and the latter does impose (negative) obligations on individuals towards others.
Ah, those links refreshed my memory- I was incorrect in my edit- that approach more closely resembles Locke's state of nature. But thank you for showing me that Rand gets there from another angle.