The thing about equality of opportunity is that parents usually want what they perceive as a good start for their children. So richer and more educated parents try to provide better education and other mental stimulation for their children. However we then call for equality of opportunity...
And poorer families request more government assistance so their kids have a fair shot at making it big. What's the problem? If this is in place, equality of opportunity is much closer to reality: the dumb sit at the bottom, the smart hopefully rise to the top.
Of course, while education is important, you don't have to make much to get rich: if you sock away so much of your paycheck, no matter how low, and let it grow for several decades, by the time you take it out, you'll be "rich" - if we're talking tax brackets.
So even if you don't get an education, you still have opportunity; it's called investing for your future. You might have to invest more of a percentage than the lucky educated higher ups, but if you flat out refuse to save, that's your own damned fault. Even if you have to live on ramen and 1 dollar burritos, you can make a small income go quite far.
I know people often say poor people can't afford to save; I call bull. If you spent 1 dollar a day on food, you'd spend 365 dollars a year to cover all your food needs. All the bills and taxes probably suck up a few thousand more. But if you can save around 10% of each paycheck, and do it regularly up until you're of retirement age, you'll likely be sitting on a rather large bank account, especially if you've invested it in a variety of things. Now of course, there's the question of what to when you have a family: just a spouse and child triples all the living expenses more or less. That's just more reason to abstain from having kids until you're good financially, and until you have kids, your spouse should work too. Every penny counts.
Sorry for the rambling, but the point was, even without an education, there is plenty of opportunity for everyone; it may not be equal, but to say there's none if just nonsense. It might be more difficult to make more without an education, but often, sound financial planning is just as important as whatever a school can teach you.
Just because some people are smarter/stronger than others doesn't mean they deserve economic advantages, which is the entire point of communism.
But then you remove any self-serving incentive to apply your maximum potential.
What, short of getting into genetic manipulation and/or mind control and purging all creeds of selfishness from the human mind, allows you to keep people from saying, "I'm not going to do 20,000 dollars of work for 10,000." Or, rather, "I'm not going to do a million dollar job for 50,000."?
Elected business owners would be career politicians, afraid of making any bold financial changes because of the fact they'd be removed. If he needs to cut wages a bit in order to save the company from bankruptcy, the workers - out of self-interest - will vote him out; bam, bankrupt company. All because of worker's democracy. A propertied business owner might not always have his workers' best interests at heart, but if he's smart, he will: without a healthy, fit labor force, he cannot make profits; without plenty of benefits, they can leave for elsewhere in a flash. Similarly, a business owner can afford to take risks; he's not accountable to a miniature electorate, with all the pros/cons that brings.
Furthermore, as a business owner works for personal profit, he has incentive - or at least
I hope to God - to minimise costs and hire the optimal number of people to increase his margins, creating more money, goods, and services to pump into the economy. An elected manager cares only about being re-elected, and likely will only do the bare minimum so as to keep the company afloat, and therefore, him re-elected. Workers' democracy, at the least, would require term limits to solve the "career management" issue; you don't have to be afraid of making bold moves if you're already ineligible to serve again.
There's of course, still plenty of muddy issues with the Communist system; in theory it sounds good, but it can fall apart in practice because it rests on too many idealisms. I don't see why you all must do it as Marx wanted; you live in a different era. You have history to look at. With all the information at your fingertips, you can think of a way to develop a better system by looking at all the variables and realities. I don't doubt the intelligence of well-intentioned communists; therefore, they should apply it to get as realistically close to Marxist ideals as they can, without breaking the system. Sustainability is more important than any temporary victory over the evil capitalists.