Not claiming to be an expert but these are my impressions and some Wikipedia references:
tauhid - belief in one God/ unity of God
Thogut - see ;
in current radical Islamic circles it generally means "oppressive government" that is not obedient to Allah
Anshor thogut; anshar - helpers, allies?
Syirik demokrasi;? so roughly worship of democracy rather than Allah
Nasyeed Daulah; ?? last sentence: The Islamic State (ISIS) is known for the use of nasheeds in their videos and propaganda, notable examples being the chant Dawlat al-Islam Qamat ("The Islamic State Has Been Established"), which came to be viewed as an unofficial anthem of ISIS...?
Kufur terhadap thogut/anshor thogut; kufur means unbeliever, so kufur terhadap thogut means rejecting thogut
Baiat oath of allegiance
idad? I'dad itu berarti persiapan. Membuat i'dad berarti membekali diri dengan segala persiapan yang dibutuhkan untuk melakukan sesuatu, agar meraih hasil maksimal.