I agree, inalienable rights shouldn't depend on what other people think or want. That's why basic rights should only be negative rights; in the classical formulation, your rights to be free from the government depriving you of "life, liberty, and the pursuit of happiness".
Increasingly, "basic rights" are being morphed into positive rights that require other people supporting (whether in though, speech, or action) said right. Right to birth control? Someone needs to make and administer those pills. Right to housing? Someone needs to build and maintain the houses. I'm afraid that such rights will always depend on the whims of those around you, and hence cannot be truly basic.