Last year on PS3 someone made a franchise save that they uploaded that was an opening day save. It included teams real life picks. You can't have franchise saves on PS4 sadly so the only way to replicate the real life draft is to manually trade draft picks between teams yourself in the beginning of the season.
Perhaps we can write a list of what picks teams have by default in the 2015 rule 4 draft and then write a guide to make it more realistic for at least the first few rounds.
Real life:
http://mlb.mlb.com/mlb/events/draft/...#ft=round&fv=1
The Show:
Round 1
1. Diamondbacks
2. Rockies
3. Rangers
4. Twins
5. Astros
6. Red Sox
7. White Sox
8 Phillies
9. Cubs
10. Reds
11. Rays
12. Marlins
13. Braves
14. Mets
15. Brewers
16. Yankees
17. Indians
18. Athletics
19. Pirates
20. Giants
21. Royals
22. Tigers
23. Cardinals
24. Orioles
25. Angels
Comp Round
1. Braves
2. Blue Jays
3. Blue Jays
4. Yankees
5. Athletics
6. Athletics
7. Pittsburgh
8. Giants
9. Royals
10. Detroit
11. Dodgers
12. Orioles
Round 2
1. Diamondbacks
2. Rockies
3. Rangers
4. Phillies
5. Reds
6. Rays
7. Marlins
8. Padres
9. Braves
10. Mets
11. Brewers
12. Blue Jays
13. Yankees
14. Indians
15. Mariners
16. Athletics
17. Pirates
18. Giants
19. Royals
20. Tigers
21. Cardinals
22. Dodgers
23. Orioles
24. Nationals
25. Angels
Round 3
1. Diamondbacks
2. Rockies
3. Rangers
4. Twins
5. White Sox
6. Phillies
7. Cubs
8. Reds
9. Rays
10. Marlins
11. Padres
12. Braves
13. Mets
14. Brewers
15. Blue Jays
16. Yankees
17. Indians
18. Mariners
19. Athletics
20. Pirates
21. Giants
22. Royals
23. Tigers
24. Cardinals
25. Dodgers
26. Orioles
27. Nationals
28. Angels
Round 4 through Round 10
1. Diamondbacks
2. Rockies
3. Rangers
4. Twins
5. Astros
6. Red Sox
7. White Sox
8. Phillies
9. Cubs
10. Reds
11. Rays
12. Marlins
13. Padres
14. Braves
15. Mets
16. Brewers
17. Blue Jays
18. Yankees
19. Indians
20. Mariners
21. Athletics
22. Pirates
23. Giants
24. Royals
25. Tigers
26. Cardinals
27. Dodgers
28. Orioles
29. Nationals
30. Angels
I'm not sure if the roster I used for my franchise made draft picks switch. I'll look at it again with default roster but that's my draft for year 1. The last rounds look good but the first few definitely need some draft pick trades.