I was curious to see if this was actually the case, but the data doesn't really seem to support this claim. Meat consumption overall appears to have remained relatively stable over the past few years, but it's mostly been an increase in poultry intake that's made up for a simultaneous decline in red meat consumption.
http://www.nationalchickencouncil.org/about-the-industry/sta...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3045642/
http://fortune.com/2015/10/27/red-meat-consumption-decline/
https://www.independent.co.uk/life-style/health-and-families...
Excess iron can be reduced by donating blood.
Also important: cast iron cookware introduces a non-insignificant amount of iron into cooked food, which can be detrimental (or beneficial) depending on the subject.