There is ample evidence that Hamas has attempted peaceful coexistence with Israel in the past, but Israel rejected those efforts.

When Hamas came to power in 2006 after a fair election, as confirmed by the UN and US, they repeatedly sent peace feelers to the Israeli government. However, the Israeli government dismissed all these efforts. Although a ceasefire was later reached, it was soon broken unilaterally by Israel. While it's true that Hamas at the time of sending peace feelers asked for the right of return for all refugees expelled from their homes in 1948—a demand not favored by Israel—one should note that, first, international law does recognize the right of return for expelled people, and second, Hamas presented it as a topic of negotiation, which Israel refused to engage in.

Additionally, in an effort to heal divisions within the Palestinian movement, Hamas issued a new charter in 2017 that endorsed the idea of a Palestinian state based on the 1967 borders—a significant shift from its previous stance.

When Hamas, the most hardline Palestinian group, pursued peaceful coexistence with Israel, other Palestinian groups would have naturally followed, debunking the Israeli claim that Palestinians are a constant source of insecurity for Israelis.