Across
1. Jokes for children (4)
3. Key figures starting a religious service; they're often found in churches (6)
7. Where one might see Homer making Odyssey's ending shorter, for starters (4)
8. Image of Yankee soldier very forcefully starting to evacuate from the East (6)
10. Female shooter arrived unprepared near Gulf state (11)
12. Surroundings of newly ordered vent broken by extreme athletes (11)
15. Abuse extreme elements in legislature being in the majority (6)
16. Prevent swapping Toyota's front and parking in parking space (4)
18. Hobo is talking to house band member (6)
19. US president not starting to get supporting votes (4)
Down
1. I am contracted to follow the debut of Khloé Kardashian (3)
2. Doctor West from Hollywood brought up fantasy (5)
4. Wrap leg around female sibling to show the placement of 1, 10 and 15 down politically, as well as here? (4,4)
5. A Chinese politician who has published several books on the core of diplomatic doctrine (5)
6. Quiet and coy, ultimately (3)
9. Detain pilfering man close to southern parts of Chesterfield? (8)
10. Revolutionary Guevara – he is supporting Cuba's leader (3)
11. Idiot to make sweater, perhaps in broadcast (3)
13. Revolutionary Ulyanov loved getting hold of large Swedish company (5)
14. Ticket for trendy cocktail dinner's opening missing (5)
15. Chairman's mother, the second-in-command (3)
17. Plums regularly cut to find sign of infection (3)