Using private civilian homes to build an analogy is not a good idea when it comes to major issues such as partition of nations.
Your example is a false or weak analogy fallacy.
Partition is a last resort when two peoples within the same defined area of land cannot agree on who is the rightful owner, which identity it should take and who should govern the land.
The UN voted for partition. Palestinian leaderships have since rejected every single peace deal tabled over 75 years as their aim is a single Palestinian Arab State with an Islamic foundation as with other Arab World States. However, Palestinian President Abbas admitted in 2011 it was a mistake for them to reject the UN deal. Clinton warned Arafat he was leading Palestinians AND the region to catastrophe. And so it has come to pass.
You cannot spend 75 years rejecting all deals because you WILL run out of road, especially when you've failed in 75 years to have any meaningful power, politically and/or militarily. Let's be clear....Arab States tried dealing with Israel via military power and failed each time.
Hence, Saudi Crown Prince Mohammad Bin Salman was so frustrated with Palestinian leaders in yet another rejection that he told them they had to accept the deal or shut up since they don't possess the necessary power to get exactly what they want which is the elimination of the State of Israel.
Palestinians have been failed by their own leaders for 75 years. Ask yourself what do Palestinian leaders get out of constant rejections of various deals?
Power and money are two obvious ones. They require perpetual victimhood to keep Palestinians right where they are, to keep the conflict simmering yet not boiling over and their own positions intact. This is what is really being supported in backing the Palestinians in reality - just more of the same exploitation of Palestinians by Palestinian leaders who've realised money & power will keep coming courtesy of outsiders who don't really understand the complexities of the region.
A single joint State for both is amongst the least popular options as far as Israelis and Palestinians are concerned. The two State solution is the only show in town.