It is equally crazy expensive in both countries. The system is just less regulated, less trasparent in the US and relies heavily on price negotiations between insurers and hospitals and employers and insurers. Without negotiation doctors and hospitals are basically free to charge you whatever they want, hence the common advice for swiss travelers to get an extra insurance for US trips - should you get into ER, US hospital could charge you arbitrarily crazy amount that your swiss insurance will just laugh at.
But as an employee in the US with any good job, health is a non-issue and even can be better than the swiss system. Sure, there are known ways to shoot yourself in the foot, like choosing a plan which does not cover out-of-network doctors, accidentally getting treated by such a doctor (e.g. ER trip or because your in-network doctor has out-of-network assistants) and ending up in a bankruptcy, but this is a poor people’s problem. Working for a big tech firm you will generally have a very good insurance through your employer. E.g. Google’s gHIP plan conditions: $0 annual premium, $1400 annual deductible (which google even covers for you via HSA contributions), then 10% copay up to max $2800 . x2 if you get treated out-of-network, and another x2 multiplier (+couple thousands in premiums per year or so) for treatment of your dependents if you choose to include them on Google’s plan. Plus some dental, vision, fertility coverage. This is better and cheaper than any swiss plan you can find and gets you some of the best doctors in the world. As far as SV companies go this is a very good deal, but expect comparable benefits at most big tech.
Problems start when you don’t have a job and need to get an insurance yourself. It gets much more expensive and shittier there than an employer-negotiated plan. And then when people start saving pennies on out-of-network coverage, it’s playing with fire and what gets them into bankruptcies. In Switzerland on the other hand the government does all the negotiations for you and you don’t have this problem of shitty non-employer-negotiated plans. But doctors/hospitals prices are still crazy.
Probably because recruiters are overwhelmed with a large volume of applicants that all such firms get. Try finding and applying through a referral, this should at least get you noticed in the noise. And take your interview prep seriously. Applicants who don’t prepare for today’s whiteboard interviews are easy rejections come interview time, even if otherwise you’re qualified for the job (it is not really that much better or more interesting than work at any other software firm, just tools are better and codebase is cleaner)