To separate DM and AM, I have found solution like this. DM include destroyer and box-to-box midfielder (CM) (players who balance between defence and offence and not much creative force).
The 100 Greatest Defensive and Box-to-Box Midfielders of All-Time
1. Lothar Matthaeus (Germany)
2. Frank Rijkaard (Holland)
3. Jose Leandro Andrade (Uruguay)
4. Jozsef Bozsik (Hungary)
5. Falcao (Brazil)
6. Ernst Ocwirk (Austria)
7. Luis Monti (Argentina)
8. Johan Nesskens (Holland)
9. Danny Blanchflower (Northern Ireland)
10. Duncan Edwards (England)
11. Fritz Szepan (Germany)
12. Fernando Redondo (Argentina)
13. Igor Netto (Soviet Union)
14. Paul Breitner (Germany)
15. Obdulio Varela (Uruguay)
16. Jean Tigana (France)
17. Marco Tardelli (Italy)
18. Bryan Robson (England)
19. Jose Pirri (Spain)
20. Horst Szymaniak (Germany)
21. Billy Bremner (Scotland)
22. Néstor Rossi (Argentina)
23. Valery Voronin (Soviet Union)
24. Roy Keane (Ireland Republic)
25. Dave Mackay (Scotland)
26. Steven Gerrard (England)
27. Danilo Alvim (Brazil)
28. Toninho Cerezo (Brazil)
29. Patrick Vieira (France)
30. Edgar Davids (Holland)
31. Graeme Souness (Scotland)
32. Zlatko Cajkovski (Yugoslavia)
33. Giacomo Bulgarelli (Italy)
34. Stefan Effenberg (Germany)
35. Osvaldo Ardiles (Argentina)
36. Michael Ballack (Germany)
37. Josef Smistik (Austria)
38. Clodoaldo (Brazil)
39. Zito (Brazil)
40. Karel Pesek Kada (Czechoslovakia)
41. Karl Koller (Austria)
42. Josep Guardiola (Spain)
43. Wilfreid Van Moer (Belgium)
44. Uli Stielike (Germany)
45. Claude Makelele (France)
46. Svatopluk Pluskal (Czechoslovakia)
47. Mikael Essien (Ghana)
48. Romeo Benetti (Italy)
49. Xabi Alonso (Spain)
50. Antonio Rattín (Argentina)
51. David Meiklejohn (Scotland)
52. Andreas Kupfer (Germany)
53. Bauer (Brazil)
54. Didier Deschamps (France)
55. Dino Sani (Brazil)
56. Nils Middelboe (Denmark)
57. Carlos Dunga (Brazil)
58. Mauro Silva (Brazil)
59. Manuel Fleitas Solich (Paraguay)
60. Wilson Piazza (Brazil)
61. Michele Andreolo (Uruguay)
62. Emlyn Hughes (England)
63. Luis Fernandez (France)
64. Jose Velasquez (Peru)
65. Gennaro Gattuso (Italy)
66. Arie Haan (Holland)
67. John Greig (Scotland)
68. Nestor Goncalves (Uruguay)
69. Paolo Sousa (Portugal)
70. Rainer Bonhof (Germany)
71. Ernest Needham (England)
72. Ludwig Goldbrunner (Germany)
73. Alemao (Brazil)
74. Olaf Thon (Germany)
75. Esteban Cambiasso (Argentina)
76. Emerson Ferreira (Brazil)
77. Ron Burgess (Wales)
78. Stefan Bozhkov (Bulgaria)
79. Soren Lerby (Denmark)
80. Walter Nausch (Austria)
81. Paulo Cesar Carpegiani (Brazil)
82. Victor Benitez (Peru)
83. Demetrio Albertini (Italy)
84. Bok De Korver (Holland))
85. Jan Molby (Denmark)
86. Wim Jansen (Holland)
87. Diego Simeone (Argentina)
88. Ante Zanetic (Yugoslavia)
89. Eusebio Castigliano (Italy)
90. Alex Raisbeck (Scotland)
91. Ernesto Lazzatti (Argentina)
92. Salvatore Bagni (Italy)
93. Franky Van Der Elst (Belgium)
94. Gordon Strachan (Scotland)
95. Agostino Di Bartolomei (Italy)
96. Claudio Marangoni (Argentina)
97. Victor Munoz (Spain)
98. Emmanouel Petit (France)
99. Mirolad Arsenijevic (Yugoslavia)
100. Ciriaco Sforza (Switzerland)
Reserved List
Americo Gallego (Argentina)
Jan Wouters (Holland)
Horst Eckel (Germany)
Javier Mascherano (Argentina)
Stats By Nation
Brazil : 13
Germany : 11
Italy : 8
Argentina : 7
Holland : 7
Scotland : 7
France : 6
England : 5
Spain : 4
Uruguay : 4
Yugoslavia : 3
Soviet Union : 2
Czechoslovakia : 2
Peru : 2
Belgium : 2
Hungary : 1
Bulgaria : 1
Switzerland : 1
Ireland Republic : 1
Norther Ireland : 1
Wales : 1
Ghana : 1
The 100 Greatest Defensive and Box-to-Box Midfielders of All-Time
1. Lothar Matthaeus (Germany)
2. Frank Rijkaard (Holland)
3. Jose Leandro Andrade (Uruguay)
4. Jozsef Bozsik (Hungary)
5. Falcao (Brazil)
6. Ernst Ocwirk (Austria)
7. Luis Monti (Argentina)
8. Johan Nesskens (Holland)
9. Danny Blanchflower (Northern Ireland)
10. Duncan Edwards (England)
11. Fritz Szepan (Germany)
12. Fernando Redondo (Argentina)
13. Igor Netto (Soviet Union)
14. Paul Breitner (Germany)
15. Obdulio Varela (Uruguay)
16. Jean Tigana (France)
17. Marco Tardelli (Italy)
18. Bryan Robson (England)
19. Jose Pirri (Spain)
20. Horst Szymaniak (Germany)
21. Billy Bremner (Scotland)
22. Néstor Rossi (Argentina)
23. Valery Voronin (Soviet Union)
24. Roy Keane (Ireland Republic)
25. Dave Mackay (Scotland)
26. Steven Gerrard (England)
27. Danilo Alvim (Brazil)
28. Toninho Cerezo (Brazil)
29. Patrick Vieira (France)
30. Edgar Davids (Holland)
31. Graeme Souness (Scotland)
32. Zlatko Cajkovski (Yugoslavia)
33. Giacomo Bulgarelli (Italy)
34. Stefan Effenberg (Germany)
35. Osvaldo Ardiles (Argentina)
36. Michael Ballack (Germany)
37. Josef Smistik (Austria)
38. Clodoaldo (Brazil)
39. Zito (Brazil)
40. Karel Pesek Kada (Czechoslovakia)
41. Karl Koller (Austria)
42. Josep Guardiola (Spain)
43. Wilfreid Van Moer (Belgium)
44. Uli Stielike (Germany)
45. Claude Makelele (France)
46. Svatopluk Pluskal (Czechoslovakia)
47. Mikael Essien (Ghana)
48. Romeo Benetti (Italy)
49. Xabi Alonso (Spain)
50. Antonio Rattín (Argentina)
51. David Meiklejohn (Scotland)
52. Andreas Kupfer (Germany)
53. Bauer (Brazil)
54. Didier Deschamps (France)
55. Dino Sani (Brazil)
56. Nils Middelboe (Denmark)
57. Carlos Dunga (Brazil)
58. Mauro Silva (Brazil)
59. Manuel Fleitas Solich (Paraguay)
60. Wilson Piazza (Brazil)
61. Michele Andreolo (Uruguay)
62. Emlyn Hughes (England)
63. Luis Fernandez (France)
64. Jose Velasquez (Peru)
65. Gennaro Gattuso (Italy)
66. Arie Haan (Holland)
67. John Greig (Scotland)
68. Nestor Goncalves (Uruguay)
69. Paolo Sousa (Portugal)
70. Rainer Bonhof (Germany)
71. Ernest Needham (England)
72. Ludwig Goldbrunner (Germany)
73. Alemao (Brazil)
74. Olaf Thon (Germany)
75. Esteban Cambiasso (Argentina)
76. Emerson Ferreira (Brazil)
77. Ron Burgess (Wales)
78. Stefan Bozhkov (Bulgaria)
79. Soren Lerby (Denmark)
80. Walter Nausch (Austria)
81. Paulo Cesar Carpegiani (Brazil)
82. Victor Benitez (Peru)
83. Demetrio Albertini (Italy)
84. Bok De Korver (Holland))
85. Jan Molby (Denmark)
86. Wim Jansen (Holland)
87. Diego Simeone (Argentina)
88. Ante Zanetic (Yugoslavia)
89. Eusebio Castigliano (Italy)
90. Alex Raisbeck (Scotland)
91. Ernesto Lazzatti (Argentina)
92. Salvatore Bagni (Italy)
93. Franky Van Der Elst (Belgium)
94. Gordon Strachan (Scotland)
95. Agostino Di Bartolomei (Italy)
96. Claudio Marangoni (Argentina)
97. Victor Munoz (Spain)
98. Emmanouel Petit (France)
99. Mirolad Arsenijevic (Yugoslavia)
100. Ciriaco Sforza (Switzerland)
Reserved List
Americo Gallego (Argentina)
Jan Wouters (Holland)
Horst Eckel (Germany)
Javier Mascherano (Argentina)
Stats By Nation
Brazil : 13
Germany : 11
Italy : 8
Argentina : 7
Holland : 7
Scotland : 7
France : 6
England : 5
Spain : 4
Uruguay : 4
Yugoslavia : 3
Soviet Union : 2
Czechoslovakia : 2
Peru : 2
Belgium : 2
Hungary : 1
Bulgaria : 1
Switzerland : 1
Ireland Republic : 1
Norther Ireland : 1
Wales : 1
Ghana : 1