Not all football has Cheerleaders,Only certain teams do,The Giants do NOT have them (The Jets do have them).
The whole idea of Chukas Hagoyim can really apply to anything, Theorectically it could apply to the Mall.
If you dont want to go, you dont have to, but its clear many do go and many go with their kids.
The reality is very few Pareve outlets are allowed anymore. One does need breaks. Sports generally is as pareve as it gets