Where do you draw the line between legitimate fat acceptance and science denialism?

[GrandizerII]

Here's a few of their gems: 

1)  Desire to lose weight is inherently fat-phobic and it means you hate fat people
2)  There are no health risks to obesity
3)  There is extreme health risks to losing weight because you're giving yourself an eating disorder
4)  Losing weight is nearly impossible and long term weight loss IS impossible.  If you're lucky enough to lose weight, you'll just gain it right back
5)  Fat people can be just as physically active as non-fat people
6)  BMI is garbage since professional athletes will have a high BMI despite being in great health
7)  Since thin people can have these health issues (like heart disease, sleep apnea, diabetes, ect), then that means being fat doesn't cause them

Am I alone in thinking that this has a nasty habit of going into junk science?  Or science denialism?  Is it wrong for me to want to keep this weight off or to work hard to stay strong and healthy and, yes, thin?

Only 2 and 7 seem like current science denialism to me. 1 and 3 are debatable. The rest I don't see too much wrong with.

Ok, maybe calling BMI "garbage" is over the top, but 6 is still overall agreeable.