Lilmod, sorry, this one isn’t a joking matter.
Lenny, there are indeed two sides to every story. The last two people to be objective are the two spouses. In fact, the saying goes: There are three sides to every story – his side, her side, and the truth.
Your question was about a situation where the marriage is non functional. A civil divorce has been given, and you are no longer living together.
Both your rabbi and now the rabbi whose advice you sought (“But in the next breath, the Rabbi said I should give her a Get anyway because wife is unhappy, unwilling to work on it and we’d both be better off.) are advising you to give a get.
Withholding the get at that point (I don’t know if you’re at that point yet) is simple cruelty. Don’t be a jerk – listen to the rabbis and give her a get when they tell you to.