1.) From personal experience, homeschooling severely retards the growth of the homeschooled in terms of social and intellectual development.

This is just you stating an opinion. Nothing to really refute. I simply disagree.

2.) Homeschoolers do not have access to the same education as students in public school.

Not the same, correct, it's different. Is different bad?

They cannot share the same level of facilities, expertise in teaching,

What do you mean exactly?

nor access to different opinions (the basis of higher education) when they are homeschooled.

Isn't higher education generally college and not grade school. You don't really find many differences of opinion from your teachers in grade school. They teach a curriculum and usually need to avoid anything controversial.

3.) in an age of interconnectedness, interpersonal skills are paramount. Knowledge of how to deal with people is essential in every job. Being at home interacting with a few people every day does not allow the student to learn these skills.

You are under a false idea that homeschoolers never leave their school and socialize with people besides their parents and siblings.

4.) Motivation: Homeschoolers do the work because Mom or Dad tell them to. People who go to school do not. When they get to college, and Mommy or Daddy is no longer there, which one has a higher likelihood of success?

Kids who go to public school go because their parents tell them, too. Most homeschoolers (All of them) I know go to a college after they finish gradeschooling at home.

In short, homeschooling should no longer be an option as it denies the child the basic right to an education that prepares the pupil for society.

Homeschooling.. It's schooling. It's an education, they aren't denied the right to an education. They aren't tied to a radiator in the basement where they can't interact with people.