I don't know how misogynistic football is because I don't know much about football or football culture. I have no interest in it, nor does DH, DS, DD my parents or my brother and sister. I don't live in any kind of media free bubble particularly so my lack of knowledge about it would suggest that, in my experience, the influence isn't pervasive or wide-ranging.
I have noticed that in a town not far from us, there is a negative and unsafe feeling around the football ground area on match days, but that is very much a race issue not a gender issue, and I would say is to do with the race issue in that town in general, and not because of football in particular.
The football club has done outreach sports activities to my children's school; the cheerleaders came in and did cheerleading with the children, and both my son and daughter enjoyed it. The same was the case when they had some football players is (might have been the B team or youth players, not really sure how football clubs work).
I would suspect that the issue for me would be that I notice the impact of porn culture more, even though none of my family has an interest in that either, because the whole existence of porn culture is based on making sexuality into a performance to be viewed. This is rather different to football; most football matches are for playing, not watching. DS and DD must have played hundreds of football games between them, despite their lack of interest, but only some people watch football as a hobby. The overwhelming majority of people involved in porn watch it without ever having done it themselves. So it is a consumer activity.
Porn culture that is visible in public spaces and the media is making a statement about sexuality - mostly women's sexuality, so I feel it is saying something about me and my daughter that I'm not happy about in a public space. Football primarily isn't making a statement about anything other than that some people have fun kicking a ball. It is mostly just kids and some adults playing a game in parks, schools or sports centres that I might happen to walk past.