The Bible says that the angels who came to Sodom and Gomorrah were sitting in the gate.
Genesis 19:1 And there came two angels to Sodom at even; and Lot sat in the gate of Sodom: and Lot seeing them rose up to meet them; and he bowed himself with his face toward the ground;
Some interpret the gate to be "city hall" and that Lot was a leader, perhaps a judge.
9 And they said, Stand back. And they said again, This one fellow came in to sojourn, and he will needs be a judge: now will we deal worse with thee, than with them. And they pressed sore upon the man, even Lot, and came near to break the door.
So Lot is sojourning in Sodom, he is a very key figure in the "gate" and the people rebuke him saying "he will needs be a judge" and then he offers up his two daughters. Lot obviously represents the redeemed because he is saved, but not like Noah and not like Abraham. I would argue this represents the church in Sodom and Gomorrah, which is the church in the US that is trying to work with the political organizations. The conservatives. Right now we see two judges, two daughters of this conservative wing of the US politics being offered to the mob to abuse. That is the two Supreme court justices who represent the conservative Christians on the court.
8 Behold now, I have two daughters which have not known man; let me, I pray you, bring them out unto you, and do ye to them as is good in your eyes: only unto these men do nothing; for therefore came they under the shadow of my roof.
I would argue that this is where we are today in the Biblical timeline. We are in Sodom, the house is under siege by the mob, and in a few hours the fire will fall from heaven and obliterate Sodom and Gomorrah.
Luke 17:28 Likewise also as it was in the days of Lot; they did eat, they drank, they bought, they sold, they planted, they builded; 29 But the same day that Lot went out of Sodom it rained fire and brimstone from heaven, and destroyed them all.
Interestingly this word about Lot being a sign of the start of the tribulation is only in Luke. The thought is that Luke gives us a picture of the end of the age before the tribulation starts, it is to the saints who are raptured prior to the seven year tribulation, Mark is to those left behind and Matthew is to the Jews who are saved as a nation.
So if you are concerned about weeping for Sodom you don't need to. You can see clearly they were arrogant, mocking, and did not mourn or weep right until they were obliterated. Perhaps Lot and his two daughters were weeping, but that would be the only ones you need to weep with. You don't even need to weep for Lot's wife. She turned back, not because she was weeping for the city but because she still loved the city in her heart.