>If you can't get a real name for that SIM then you're 100% sure you're being watched by people a bit more powerful and dangerous than your suspicious wife

If you conveniently "forget" or show heavy reluctance to give your info and papers when buying a new phone, you can get an unregistered SIM. Just promise them you'll give the info "later". The salespeople don't like the hassle and just want to secure the sale.

You can also easily give fake info and "forget" your ID card, since it's not verified, but that's dangerous if you get caught.

Simple social engineering.