As the previous reply said, red pigmented paint is especially
transparent and requires more coats than other colors. Even the best
red paint will require extra work, but what you're describing sounds
like it's defective (or is Pittsburgh as bad as I've heard?). The most
important thing for red (and other dark colors), which "the guy" should
have told your wife, is to use a dark primer - either gray or tinted
with the red you're using.
For removing the drips, scrape first - but gently - and then try to
smooth with a moist sponge, rinsing often. Let dry at least 24 hrs
before starting over.
Try finding a paint specialist in your area and direct your better half
there next time. At least "the guy" will be more likely to know what
he's talking about, and selling a decent quality product. Good Luck!