The Israeli prime minister, Benjamin Netanyahu, is facing the prospect of running against a rightwing-centrist super coalition in elections later this year after two of his most formidable political rivals combined forces in an attempt to oust him, inviting a third party leader to join them.

In a move that some analysts compared to the centre-right coalition that removed Viktor Orbán from power in Hungary, the former prime ministers – rightwing Naftali Bennett and centrist Yair Lapid – issued statements announcing the merger of their parties, Bennett 2026 and Yesh Atid (There is a Future).

The move came as Netanyahu disclosed he had recently had a malignant tumour removed from his prostate, leading to questions about the timing of a disclosure that was vague on details and his wider health, with the latter now likely to be an election issue.

Bennett said the new party would be called Together and that he would be its leader. “After 30 years, it is time to part with Netanyahu and open a new chapter for Israel,” he said.