No. The driver is still into women, but is realising that they prefer to present as mostly male, despite whatever their biology might be.
In oversimplified terms, you could say they're a straight man in a biologically female body.
The implication is that when they were dating and married, driver was presenting as more female or androgynous, and non-driver, presumably, has a preference for that.
However, it's not really that preference that's causing the real rift - if you love someone, you love someone - it's the desire for kids. Driver doesn't want them. Non-driver does.
They're both able to deal with this like adults. Win-win-win. (Third win is the eventual kid(s) who might get to have a cool uncle rather than a grumpy, distant dad. Assuming "uncle" and "dad" are terms driver would use anyway.)