Israel doesn’t have much of a choice. The US would have banned El Al if they refused to accommodate US carriers.
Walla and Israel’s Channel 13 report that Israel’s Corona cabinet will approve foreign carriers to operate rescue flights to Israel and Israel will allow up to 2,000 daily passengers to enter the country via rescue flights with special permission.
It’s unclear if Israel will actually give permission to that many people to enter. For now, permission to enter Israel is given in only extreme circumstances. If you do leave the country, you may not be able to enter again anytime soon.
Israel’s Ben Gurion airport has been closed since January 26th and remains officially closed through February 21st. I’d expect that date to be extended again.