I'd point out that nobody is claiming that HIV is exclusively sexually transmitted; there are other methods of transmitting it, such as infected needles. Also, Wikipedia cites a paper suggesting that those rates you mentioned are "4 to 10 times higher in low-income countries" and as high as 1.7% for anal intercourse.

I don't know whether or not these facts are sufficient to address your fundamental complaint, but they would make a pretty big difference.