1/51 Last words carelessly freshen any abrasively bull-headed Iowan (1,4,4,3,6,5,2,4,6)
13 Minister #4 is capable and can be brought back (9)
15/26 The mission: improperly, wholeheartedly bone one of green boobs (2,6,2,5,5,3,4,6)
17 True kink; both naked, leaving a mess (4)
20 Morphs regularly in the heart of the station (3)
21 Gargantuan drops gun, communicates the place to face a common foe (7)
22 Shakes staff lieutenants in a hurry (5)
24 Allocate content of Uhura's signal (6)
27 Monetary damages cause interruptions (10,6)
32 Took a good look at fancy dances round Neelix's opening (7)
35 Barely sufficient to carry hip-hop branded goods, samples finish those who deal in recycled material (5,9)
39 One who exploits unclothed lush nerd (4)
40 For a positive outlook, choose 999 when SIM breaks (8)
42 Strike ended - it'll pass (4,4)
44 Collective choice between two notes, perhaps? (4)
45 Mental influence not needed at the wall (7,7)
49 Scrub beryllium to discover it's bouncy (7)
52 See 71
56 Semi-erotic Monean turns back - never again! (2,4)
57 Cancel e-book exposing star (5)
58 Withdraw from collapsed crater holding tritium (7)
61 Drop off Enterprise's final bomb casings (3)
62 Half of redshirt found under the bed (4)
66 Deactivated ensign Four of Six - even a POW in rebellion is designed to cause harm (9,6)
69 Irregular ape reported (9)
71/52 Why does teen Wes' image often offend, huh? The teeth? Misguided utilitarianism? (3,5,2,3,4,8,3,5,2,3,3)
1 Francis Drake's missing cask comes out when it's hot (5-3)
2 Brave Latvian beaten (7)
3 Beef starter consumed, thrown up - it's not done yet (4)
4 Northeast embraces fashionable number (4)
5 Rebellious Texan without a following (4)
6 Captain's singular humbug rises (4)
7 What led shortly to 6's obsession (5)
8 Give up torpedo charge (5)
9 Protection gave voice to northern girls (10)
10 One promises and professes (5)
11 Thrive by weirdly overselling DNA prop (4,4,3,7)
12 Widespread carnage as sixteen variously oppose Dutch cheese vintage (9,6)
14 Organ found at tail-end on climbing antelope (4)
16 Casual work as henchman, perhaps? (3,3)
18 Fighter's place in grave holding Roman Catholic terrible poet (11)
19 New man's hasty "father, thank you" (4)
23/69/46 Unruly "aye" to the larger captain's order (3,4,4,3)
25 Divide Andoria - now there's a thought! (4)
26 See 15 Across
28 Casual conversation detains Brazilian on old-fashioned transport (7)
29 Corrosive untruth spoken (3)
30 Somewhere to relax about light speed (3)
31 Solidify the place where we shoot (3)
33 Reached breaking point and visited ship's toilet? (4,2,1,4)
34 Five Plutonian rebel agitators find a good spot to strike (10,5)
36 Scan rim, bottom-to-top (3)
37 Ferengi rarely offer money up front (3)
38 Without lace, after school can be lacking (5,2)
41 Statuesque Ezekiel reveals boyfriend (7)
42 Little information from primary backups on computers (3)
43 Love to act, constable (3)
46 See 23
47 Initially hot, umbrella engenders shade (3)
48 Rogue cadet drops out early (3)
50 Tailor spied a distance back (4)
51 See 1 Across
53 Mother's boy loses hots for young one (6)
54 Kelpian is, as a rule, uncovered (4)
55 Send off to inspector's area (8)
59 Famous Vulcan group? (4)
60 Initiate's ruined retinae (7)
63 Active transmission from omnipotent being at the right moment (2,3)
64 Klingon head's rookie or absent teacher (5)
65 Supply elevation of rank centred on function (5)
67 One of 66 fish, captain (4)
68 River flowing north flashes brightly (4)
69 See 23
70 Opening discovered in rainforest without reason (4)
1/51 Last words carelessly freshen any abrasively bull-headed Iowan (1,4,4,3,6,5,2,4,6)