Let's not forget that Palestinians elected Hamas in 2006 [0] in what is largely considered a fair election*. And if anything, Israel's interference would have been against Hamas (see Wikipedia link).
[0] https://en.m.wikipedia.org/wiki/2006_Palestinian_legislative...
* There are some caveats to "fair" in this case, which is why I linked to the Wikipedia article. But it is by and large considered a legitimate democratic process.