Look at your world. Roughly what percentage of your world do you have to drop classical E&M and invoke QED because the latter is necessary? Do you think we used QED to make sure the material, such as the semiconductor, in your modern electronics to work? Or what about the design of particle accelerators, some of which were used to verify the validity of QED and other parts of the Standard Model? Do you think they actually used QED to design those RF cavities and model the beam dynamics?
Skip classical E&M, and you're missing 99.99% of EM interaction physics. Not only that, you'll fail miserably in graduate school.
Zz.