It's your interpretation I question, and others as well that deem divorced women as bad news.
1. The main problem is that the words are so plain and they are direct from Jesus:
"whoever marries a divorced woman commits adultery"
Interpretation:
"whoever" = anyone
"marries" = to get married
"a divorced woman" = a woman who has been divorced
"commits" = performs the act, or does the deed
"adultery" = an act that is morally equivalent of a man sleeping with another man's wife.
I would love to be wrong, but the meaning is so plain it is hard to take any other way and it is the direct words of God (Jesus), so even if you percieve this as contradicting Moses you have to go with this over anything Moses said.
Further there are no qualifications. He did not say except for this cirrcumstance or that circumstance, etc.
So the only other defence I can see is that the verse is mis-translated and to my knowledge no one is claiming this?
2. Now about your second point, about divorced women being "bad news".
One does not need to hold this position about divorced women to being "bad news" (and I do not) to believe the above. Divorced women may be (and many are) wonderful people. She can even be innocent of wrong doing. For example, I know a friend who very much wanted to stay married, but her husband left her. She was divorced against her will. Nothing she could do about it. Against her will. She did not sin. I still do not believe based on this verse that I can marry her. She is divorced and Jesus said marrying her is adultery. If she came to be for counsel I would recommend that she make every effort to reconcile with her husband. (Believe me I would love to be wong about this. She is beautiful and rich).
The verse says nothing about the man's married status, so whose married status is it considered adultery? Hers, obviosuly. And if it is hers than this "divorce" is apparently not valid. It is as if what God joins together does stays together despite man's efforts. She thinks she has a divorce, and yet she is still attached to her husband in some spiritual sense.
This alines well with what Paul said about a woman with a living husband. She remains committed as long as he is alive. Paul did not say as long as he is alive or unless they are divorced.
So basically a woman gets only one shot at having a husband and she is supposed to make the best of it. Hypergamy (trading up) is not allowed.
Notably hypergamy is not allowed for the husband either. The difference is that he is allowed another wife, but he MUST keep the old one Matthew 19:19.
So if this is true, and I believe it is, then it is truly tragic and unfair for these abandoned women. This is true. That is why God hates divorce. It is a VERY VERY bad thing to do and hurts more people than just you. A man who would do this to a woman is a very bad man. If you take her you are supposed to keep her.
However, this tragedy is not justification for us to solve the problem our own way and to go against the very words of Jesus himself. Perhaps the tragedy, the pain, the unfairness is supposed to help us as a society and as individuals to avoid doing this in the first place?
By the way this comfort level in our culture and even within the church with divorce is a relatively new thing in the scope of Christian history.