Skripa, the vast majority of those who don’t give their wives gittin are correct. Their wives are not entitled to gittin. Unless you’re one of those apikorsim who think that every wife is always entitled to a get whenever she wants one. That’s not how the Torah works. Even under NY law a person is not entitled to a divorce without cause; kol shekein under Torah law.
A woman (and since Rabbenu Gershom, also a man) who gets married is making a lifelong commitment from which, under normal circumstances, they can never be released without their partner’s free and willing consent. To break that they need special circumstances, and the accepted halocho is that a beis din may not order a man to give a get, or a woman to receive one, unless the case is one of those authorized in the gemoro. In all other cases, if someone wants a get they have to persuade their partner to agree, which means giving them whatever they’re demanding.