I'm amazed how many people that proclaim "individual rights" don't think individuals are smart enough to choose their leaders.
I'm always amazed how leftists incessantly fail to follow the self-evident line of reasoning taken for granted by classical liberals: among other things, the reason for limited government goes to the observation that human nature is essentially corrupt and therefore vulnerable to stupidity. Hence, one should want to safeguard individual prerogative against the irresponsibility and tyranny of the collective—the latter ever-dragging down the whole.
The Constitution is a body of one check after another intended to thwart the stupidity of the mob, and individual liberty is the greatest check of them all. It tends to compel humans to embrace their better angels and swim, rather than succumb to sloth and sink.
The contradiction exists nowhere but in the minds of the stunted, black-and-white thought processes of the leftist, who cannot follow the premise-to-conclusion (allegedly black-and-white) thought processes of the conservative.
Your mistake is due to the same sort of intellectual immaturity that confounds the necessity of defending the sanctity of human life relative to a genuine and enduring liberty with a supposed heavy-handed intrusion in the lives of women on the behalf of the unborn.