Well I'm female, a full on petrolhead, and I am also GLUED to the Grand Tour on Amazon! The first episode was available on Friday and I've already watched it 3 times!
Amazon didn't need to be "persuaded" either; there were several channels after the trio due to the demand for them and their presence on TV (they brought the Top Gear audience up to over 300 million viewers worldwide!). Amazon got them on several grounds: budget, legal reasons and freedom to do what they want. And it shows.
Much as you don't like Clarkson, there is a reason your family members - along with MILLIONS of viewers GLOBALLY are so excited by the Grand Tour. The fact of the matter is that Top Gear was the biggest, most successful factual show in the world. It became that because of one person - Clarkson. The ideas and concepts developed from him. Hammond & May came into the equation and between them they developed TG into the global success it became - but without Clarkson it would never have happened.
You may not like cars, you may not like Clarkson - that is your prerogative, but millions of us do like him and are able to see beyond tabloid headlines. The new show is exceptional... the opening 5 mins alone were stunning, and for us petrolheads it's an important show.
I'm quite sure there are shows/personalities you enjoy watching that many others cannot stand. There are LOADS of TV shows I have zero interest in and/or cannot stand - I simply don't watch them. I don't begrudge anyone else enjoying them though.
If you don't enjoy it - don't watch it.