I may be able to help. I grow in raised beds and mulch with straw just as you do. First, real quick, the sun will not ruin your compost. Mulching is good, one reason especially is it arrests falling raindrops. Raindrops hitting bare soil does two things. It sorts the soil particles (kinda like panning for gold) with tiny silt particles rising above the larger heavier particles. This is how a crust forms. The crust inhibits oxygen from moving into the soil and other gasses like
CO2 from escaping.
Roots need oxygen. The crust also causes the next rains to wash off the surface causing erosion. Little pathways and gulleys are evidence of this. The other thing that happens is a lot of diseases are soil borne, and raindrops will splash soil particles onto the leave of crops we grow, speeding infection if plants aren't healthy.
Your wife is exactly right. I push and pull my straw aside so emerging sprouts will be exposed to sunlight as soon as they're up. Then once they grow a little, I push the straw back up next to the plant. Don't panic, it may not be ruined and not all is lost. If the straw is rather thin, the emerging sprouts will find their way. That's what nature does. We've all seen a sprout emerge from a crack in a stone wall or something similar. If your straw is 3 or 4 inches thick, that's too much for an emerging seedling to work through. They will perish. There are a few exceptions, tho. Alliums like garlic will grow through thick mulch as mentioned. Garlics emerging growth is narrow and needle like and will find its way thru. It may behoove you to go pull mulch aside where the seeds are sown and then reapply it after the seeds are up. The crops you mentioned should have easy access to direct sunlight once they've emerged from the soil to grow successfully.
How many days ago did you sow the seeds? If it's just a few, they're likely not up yet (with the exception being the radish. I've had radishes sprout in 3 or 4 days). If you sowed the seeds 3 weeks ago, you may likely be resowing everything.
Edited for grammar.