Not exactly.
I believe the higher fertility rate applies also to the 20+% of Israelis who call themselves ‘traditional’ in addition to the 35% of Israelis who call themselves ‘religious’, although the 10% haredi certainly have the highest birth rates.
The Israeli population has been trending religious since the ‘90s, so these changes aren’t unexpected.
It shows that even in a pro-natal culture with government support ... atheists can’t replace themselves demographically.
I admit I didn’t research statistics but I often travel to Israel and demographics around families I know is not different from Europe mainly. Haredimi and Arabs are different of course.