Won't be a problem in my lifetime
Unless you think the financial crisis we just had was a problem.
While the deregulation in the financial sector was the reason why it was so contagious, you can find the impact of oil prices there as well.
High energy costs reduce the profitability of almost every business, squeezing GDP growth out of the economy. Sure we are using more oil than ever, but we are paying a higher price. Consumers have less spending money due to the price at the pump, a price which is also an implicit component of the price of everything from food to appliances to home construction. Energy is a major input.
Peak oil is a poor name. For enough money, we can extract more and more oil through creative but increasingly expensive processes. Cheap Texas wells have given way to deep water drilling, fracking, and oil sands extraction.
This higher price for energy puts stress on the economy, causing people to use leverage to chase non existent real yields, leaving us with less capacity to withstand other shocks, and fewer profitable opportunities.
The financial crisis was triggered by people defaulting on dodgy mortgages in a system that was levered to the hilt. But why did they default in the first place? And what drove people to lever? Poor economic conditions arising from high oil prices damped consumer demand, shut barely profitable factories, abd generally lit the fuse on the financial bomb.
Oil price effects will always take this subtle form, weakening the system so that it cannot fight off other diseases.