This isn't a correct representation of the economy at all. "If you have a strong, healthy economy, home prices would have remained in reach for far more Americans." How'd you come up with that? Sounds like something that you're saying just because you want it to be true. The stock market has been very strong, which gives people with money even more money, which lets them pay more for houses, which drives up housing costs (foreign and corporate investments are also part of this).
Also, gov't spending can be a cause of inflation, but was not the primary factor if the past few years. Covid supply chain issues and corporate profiteering caused the majority of that. Supply/logistics are pretty much back to normal now, which is why it has dropped back down a lot.