Across:
1 Church (CH-) notice (see = -EES-) put up (= reverse indicator) for race (Tourist Trophy = -TT-) in secure (secure) grounds (= anagram indicator) (secure = -E CU-ERS) (CHEESE CUTTERS) divides those that come on wheels (CHEESE CUTTERS for cheese wheels),
10 Some Jews (HASIDIC) in Shia (Shia) novel (= anagram indicator) (Shia = HASI-) about police department (CID = -DIC) (HASIDIC),
11 Could describe those at the end of 36 across (at the end of ‘cheese and wine’ = REDDISH) as visibly blushing (REDDISH),
12 A test (EXAM) of bank’s expansion team (banks ‘EXpansion teAM’ = EXAM),
13 A (A-) UK resident (-SCOT) (ASCOT) popular with Arabians, of course (ASCOT racecourse popular with Arabians/horses),
15 Closes 36 across (closes ‘cheese and wine’ = WINE) in port (WINE),
17 Dig into (EAT) those consumed by defeatists (those consumed by ‘defEATists’ = EAT),
19 It’s earned (earned) working (= anagram indicator) (earned = ENDEAR) to curry favour (ENDEAR),
21 Get the best price (HAGGLE) for two Golfs (golf = G x 2 = -GG-) in good condition (HA-LE) (HAGGLE),
22 Argumentative type (DEBATER) berated (berated) criminal (= anagram indicator) (berated = DEBATER),
23 Uninhibited extremes (‘UNInhibiTED’ extremes = UNITED) one associates with being integrated (UNITED),
25 Andrew (Andrew) Cook (= anagram indicator) (Andrew = WARDEN) from The Guardian (WARDEN),
27 Is used to produce film (CAM) within confines of Panama Canal (within confines of ‘panaMA Canal’ = mac) going all the way back (= reverse indicator) (mac = CAM),
29 Doctors (GPs = G-PS) welcome First Aid (first ‘Aid’ = -A-) (GAPS) for fractures (GAPS),
30 Take pictures of (SHOOT) Beau from houseboat (‘Beau’ from ‘houseboat’ = hosot = SHOOT),
31 Two parties (do + do = DODO) – one of them dead to the world (dead as a DODO),
34 Get the message (REALISE) lies are (lies are) awful (= anagram indicator) (lies are = REALISE),
35 It is not found in ice sheets (‘it’ is not found in ‘ice sheets’ = ceshees = CHEESES) or dairy products? (CHEESES),
36 Sounds like (= homophone indicator) Shea (‘Shea’ = ‘che’ = CHE-), Earl (-E-) and Sean (SE AN-) from Dublin (-D) getting to complain (whine) on the radio? (= homophone indicator) (‘whine” = ‘wine’ = WINE) (CHEESE AND WINE) It’s typical of the reception! (CHEESE AND WINE).
Down:
2 Not a single man (HUSBAND) in clip of (h) The Sound of Silence (‘hush’ without ‘h’ = HUS-), by group of musicians (-BAND) (HUSBAND),
3 Puts back together (mends), without principal (m) (‘mends’ without ‘m’ = ENDS) objectives (ENDS),
4 Make allowances (EXCUSE) for introducing enchilada (introducing ‘Enchilada’ = E-), oxtail (‘oX’ tail = -X-) and cold (-C-) milk? (exploit/use = -USE) (EXCUSE),
5 Pull out (UPROOT) of this place (this place) in a manner of speaking (= homophone indicator) (‘this place’ = ‘displace’ = UPROOT),
6 Put in order (TIDY) for steadily diminishing ales (‘steadily’ diminishing ‘ales’ = tdiy = TIDY),
7 Bankrupt (RUIN-) in (-IN-) Government (-G) (RUINING) making a total mess (RUINING),
8 A word from the poseurs (CHEESE-) about second (‘about’ second = B-) egg on (-URGE-) starters of raw spinach (starters of ‘Raw Spinach’ = -RS) (CHEESEBURGERS) in fast food (CHEESEBURGERS),
9 Rocky (= anagram indicator) Cohen’s (Cohen’s = CH-SE ON) hiding additives (-EE-) on bread (TOAST) (CHEESE ON TOAST) snack from The Grill (CHEESE ON TOAST),
14 Found on the road (CAR-) and found on the sea (able-bodied seaman = -AB-) with a (-A-) duck (-O) (CARABAO) and water buffalo (CARABAO),
16 A number of characters committed a crime (a number of characters ‘commitTED A Crime’ = tedac) setting up (= reversal indicator) (tedac = CADET) trainee officer (CADET),
18 A measure of the gold (CARAT) ale from à la carte (‘ale’ taken from ‘a la carte’ = acart = CARAT),
20 Revolutionary (RED) type caught up (= reverse indicator) in The Confederates (in ‘the confeDERates’ = der = RED),
21 Cut down on (cut down/chop = HEW) tips for how engine works (tips for ‘How Engine Works’ = HEW),
24 Find fault with (IMPEACH) what’s found in the centre of lime (centre of ‘lIMe’ = IM-) fruit (-PEACH) (IMPEACH),
26 Visits (DROPS IN) doctor (DR-) for operation (-OP-) – what could go wrong? (sin = -S IN) (DROPS IN),
27 What you might say brings a smile (CHEESE) to all sides today (CHEESE on all sides of today’s grid),
28 Night light (moon = MO- -ON) eats current (Direct Current = -D C-) (MOD CON) – it’s supposed to be a fashionable device (MOD CON),
32 Undiscoverable, missing boulevards (‘undiscoverable’ missing ‘boulevards’ = nice = NICE) on the French Mediterranean (NICE),
33 Word of the Persian (MEOW from Persian cat) with some Alfa Romeo wheels (some ‘Alfa RoMEO Wheels’ = MEOW).