The electoral college was entirely a compromise to protect the interest of the slave holding states.
The US has a separate mechanism to prevent run offs. If no one wins the election in the first round, the House of Representatives gets to ignore the election entirely and pick whoever they want as president. In another nod to slave states, this vote is done by state declaration, unlike every other vote the House conducts, where each individual member gets to vote.
If they wanted to have a popular vote for the president, they could have easily done so within the logistical constraints of the time. States still send an electoral delegation to the capital to submit. However, instead of those delegations voting, they simply report their state’s election results. Then, the President of the Senate tallies all the state results and announces the result. If no one wins a majority, we fall back on our current stupid procedure in the House of Representatives.
Even when he is in charge, he can’t stop his corruption trial. Netenyahu began testifying mid December, and I believe is still expected to give further testimony. Currently, the trial is on hold due to a surgery, but should resume soon.
Him being PM definitely slows things down, but Israel has no problem trying an active head of state.