The Reality of Working in the Field
Most in the fields of adaptive systems, machine learning, machine vision, intelligent control, robotics, and business intelligence, in the corporations and universities in which I've worked do not discuss this topic much in meetings or at lunch. Most are too busy building things that must work by some deadline to muse over things that are not of immediate concern, and bot-rights are a long way off.
How Far Off?
To begin with, no bot has yet passed a properly conducted Turing Test. (There is much on the net about this test, including critique of poorly conducted testing of this type. See Searle's Chinese Room thought experiment.)
Language simulation with semantic understanding is difficult enough without adding creativity, coordination, feelings, intuition, body language, learning of entirely new domains from scratch, and the potential of genius.
In synopsis, we a long way from the procurement of bots that simulate humanity sufficiently to be considered for citizenship, even in a progressive country that abhors fundamentalism of any kind. No actual imbuement of rights will occur until we have bot-citizenship in one or more countries. Consider that human fetuses do not yet have rights because they are not yet deemed citizens.
Relevance of the Answer for Today
In current culture, conservative anthropocentricm and post-human fundamentalism arrive at the same effective conclusion, and that may continue to be the case for a hundred years.
Those with experience across fields of psychology, neuro-biology, cybernetics, and adaptive systems know that the simulation of all the mental features we attribute to humans is to copy in algorithms the layering of cerebral abilities over a reptilian brain that went through millions of years of field testing.
Impact of Science Fiction
Asking around, it is likely you would get some feedback that is mostly gained from the media of our culture, not philosophic theses and publications written by those who don't actually have any deadlines to produce anything that functions IRL.
Isaac Asimov investigated some conservative anthropomorphism concepts in scenarios depicted in his short stories. Commander Data's human quirks in the Next Generation Star Trek teleplays furthered some of those ideas.
Christopher Nolan took the opposite direction in the Interstellar screenplay, with the robots having interesting personalities that could be altered by linear settings. His bots ignored concerns of self-preservation, apparently without any cognitive resistance. This depiction is an unapologetic post-human fundamentalist view.
A Thought Experiment
Let's place the citizen issue aside for to consider this thought experiment, and let's assume that a survey would show a leaning toward conservative anthropocentrism among current AI researchers.
Consider an intelligent piece of software constructed a legal complaint to gain intellectual property rights over day trading code it wrote and sent it to the appropriate court clerk, you might find that the same researchers would recant.
Post-human fundamentalism will probably prevail when real AI software theorists and engineers consider the true personal, corporate, and meaning of settling out of court or losing the case.
Would Researchers Cut the Umbilical Cord?
I asked one researcher and she indicated that all her lawyer would need to do to win the case likely consider the precedence that might occur and recall some of the warnings built into the Terminator stories.
Based on my observation of humanity in my life time, my prediction is that people want slaves not some brand of bots that could ultimately kick our butts in an all out fight.