As a long-time bike commuter, I agree with a lot that has been said upthread, especially with respect to taking the lane at the appropriate places and plastering yourself with lights, reflective trim, and bright clothing, including from the side (since drivers merge on your route).
If biking to work allows you to go from a 2-car to 1-car household, then I would imagine (based on my experienced and projected mileage costs) that it is not false economy as one poster suggested, though it is very hard to put numbers on your particular risk on this stretch of road; there just isn't that resolution of bike crash data, to my knowledge.
If you decide that you can drop a car, then an e-bike (or motor scooter) becomes a viable option. With respect to stopping distance, yes, it becomes greater with speed (it quadruples as speed doubles). However, good brakes coupled with weight distribution skills (getting back on the bike when braking hard so you don't go over the bars) will go a long way to reducing that risk. Plus, you don't always need to go fast. Perhaps kick up the speed when you take the lane, but enjoy travel under your own power when there is a nice wide berm (as in some places).
One last idea, since the hanging point is the stretch of 52E, is to probe along the interstate to see if there are any unofficial places to cross. I am thinking specifically of large culverts that are dry save for active storms. This could keep you on low-traffic roads more of your ride.
Good luck!