Present what languages you actually have the data in. The user is smart enough to click the "translate" button in the web browser should they want. That translation is also likely to be better quality.
English is not my first language. Or my second. But I understand it well enough to work in it every day. And I never ever want to wade through auto-translated garbage just to find the right button to read the original English version. Because for some reason this is only a problem for English, web sites using other locales never do it, which should be indication enough that international visitors hate it.
If you ever think about using machine translation tools for you web site, first you must do a full translation round trip for every language before publishing. Translate, paste back the result and translate back. That is roughly what you intended to publish. Don't do it.