The so-called 'intrusive R' is not something you should try to emulate - it's the use of /r/ to stand in for another consonant that is not sounded - as often happens with current discussion items like 'law and order' (wrongly pronounced /'lɔ:rǝnɔ:dǝ/, as if it was Mr Norder's daughter Laura).
But what does your list of 'phonemes' mean: EAR as in near (/ɪǝ/)? As in bear (/eǝ/)? As in earth (ɜ:/)? As in heart (/a:/)? As in rearrange (i:ǝ)? ... (There are probably a few more: the book that I am honestly going to write real soon now will list them all!) But I find it impossible to discuss phonetics without using the IPA.