Inflation is certainly picking up, and you are wrong about wages being stagnant. It certainly is true for most Americans, but the largest financial institutions - which would have failed if not for bailouts - are still doling out record bonuses, with money printed out of thin air. That will bid up prices.
Also, an increasing number of people are
living in their homes mortgage-free, many for
several years now, because the financial institutions lending them the money would rather they don't pay than to put another foreclosure on the books and potentially drive down the inflated value of homes. So people who would normally be dumping a LARGE part of their income into mortgage are spending that money elsewhere. That bids prices up. Yet other ways that inflation arises despite lax wages: homeowners leading up to and during the financial crisis who pulled out home equity to cover expenses; government-granted student loans at colleges that are
charging 5% more each year since the financial crisis started. All of that money, pulled out of thin air, bids prices up.
And on a global scale, as other countries print money to maintain their peg to the dollar, that foreign money finds its way into circulation, prices are bid up, and the effects of that are eventually felt here in the US through increased prices.
And to say that prices of food and energy are not important is quite absurd. You sound like the Fed Chairman
who said that the falling price of an iPad cancels out rising food prices.