You're ignoring the fact that the house is appreciating in price more than $1750x12 per year. In fact, my house has appreciated around $500,000 in the 3.5 years since I bought it, which is about $12,000 per month. Plus I get the principal amount I've paid in back on top of that.
So while it's cheaper every month to rent and they do have more cash in their pocket today, it's FAR better financially to own. I will be able to retire easily with a paid off mortgage and very low living expenses, a renter may never have enough cash saved to be able to retire at market rental rates even if they put every single dollar they save each month away.