Car rental in Israel without additional insurance

I have car hire insurance. But when booking a car in Israel all companies have always forced me to take an insurance from them. I've never been able to get the price that Kayak shows, which can be around 10 USD per day. The insurance ends up costing more than 10 USD per day, and always more than the cost of the car rental itself. And because I have my own rental car insurance I don't need the company's insurance.

One company told me that it's possible to get the car without their insurance if you have a US credit card. I'm not planning to get an American credit card, so I'm wondering if there another way to get an Israeli rental car without the insurance?

Our policy is independent from any car hire company and our promise to reimburse you for any excess or CDW/LDW claim is not affected by who you hire your vehicle from or what they tell you.

Worldwide Territory You have cover if the Rental Vehicle is being used in or hired in a country defined as a Worldwide Territory. Worldwide Territory is defined as all countries. Excluded Countries: Afghanistan, Cuba, Congo, Iran, Iraq, Ivory Coast, Liberia, North Korea, Myanmar, Sudan, and Zimbabwe. Excludes any claim resulting from You travelling to a specific country or to an area where the Foreign and Commonwealth Office or a local Government/Regulatory body has advised against all or all but essential travel.