you're on the right track. even in an airfoil, which has relatively low drag, does create lift-induced drag:
Lift-induced drag
when you're designing anything, you need to look at all factors involved. you can't just focus on one thing and expect everything to be fine. gotta think outside the box!
here's a bit from the new audi a8 that was referenced elsewhere:
"Low lift coefficients at the front and rear axles ensure confident stability at highway speeds. "
2011 Audi A8 revealed amidst the stars at Design Miami 2009 — Autoblog
like before, it's pretty much a trade-off. without dramatically changing your car's shape, some mods that reduce overall drag might increase lift, so it all depends on what your goal is. but like the audi, its fully possible to have both.