It's a tough call. On the one hand, home prices are quite elevated by historical standards. There is a risk of ending up underwater, at least for a time, if the economy really tanks. If you have a long time horizon and view your home as a shelter and not as a speculative asset, perhaps you won't care that much? If on the other hand you're looking to cash out for a profit in a few years and upgrade to a bigger home, well, there's risk in that. I can't really predict the course of interest rates or inflation, but my guess is that because so much debt has been created in the last decade, the economy will be much more sensitive to small increases in rates. I don't think we're going to see a 1980s style Fed funds rate. Anything much above 3 or 4% would probably cause a significant deflationary event.
I'll just add that my folks bought their home in 1981 when the Fed was last fighting inflation. The economy was terrible and they were paying something like 18% on their mortgage. They refinanced a few times over the years and it worked out fine. I don't think they lost any sleep over the day to day valuation of their house because it was their home.