The US gets sick leave, it's called "personal days". Get your facts right. The UK also has no sick pay if you're part time, or have nothing but zero hour contracts. In the US you can see a medical specialist very soon, likewise with scans such as MRIs, ultrasound, et al, unlike the UK were you have to wait weeks and that's likely to be nowhere near where you live.
Hah, what bullshit - the level of employment you have has no bearing on your statutory sick pay entitlement, its all based on how much NI contributions you have made in that reporting period as to how much prorated sick pay you are entitled to.
How many "personal days" do you get? Is it at all comparable to my 4 weeks a year?
I'm also not sure where you get your view of the NHS from - if I need an MRI or ultrasound, I get it and I get it in a timely manner which depends on the severity of my condition. What I do not get is unneeded tests, which the US health system is plagued with and where many of the costs come from.
If I really wanted to get treatment quicker or closer to home, I can go private - and guess what? Last time I worked it out, I could pay my taxes (which covers the NHS) and buy a private healthcare plan (for private treatment) and still pay out no more than my US counterpart in the same job.