Yep, with the exception of the instructor rating you are eleigible for airlines with all those courses, it sounds worse then it is.
PPL/night/ and hour build is great fun.
Atpl ground school, hard studying.
Multi engine rating with your commercial license followed by Instrument rating.
And finally your mcc certificate which is also required.
Remember you cannot do the full IR in Sanford you must finish it in the UK.
Good luck