You make too much of it. Israel had very little to do with the creation of Hamas. It is essentially the Muslim Brotherhood of Egypt, that got split off from Egypt when Egypt lost control of the territory after 1967 and refused to take Gaza back after the 1979 peace deal. Even after 1967 they did not take part in armed resistance. They formed as their own group with their own name in 1987 but were primarily a humanitarian group that gave food, schooling and clothing to the poor; and in that endeavor Israel supported them. They became more militant and started an “armed wing” over the later years like many of the the Palestinian groups have their political wings and their militant wings. Israel did not arm Hamas (though they did arm the PA as part of the Oslo deal, to provide internal security/police) but when Hamas overthrew the PA in Gaza they took over the security and the armed resistance.
Maybe the simpler explanation is more accurate. That Israel created Hamas and manages it through direct orders so they can reap the benefits of controlled opposition.