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Year Population Crime rate per 100,000 population
Violent crime
Violent Crime rate Murder and nonnegligent manslaughter rate Forcible rape rate Robbery rate Aggravated assault rate
 
1960 179,323,175 160.9 5.1 9.6 60.1 86.1
1961 182,992,000 158.1 4.8 9.4 58.3 85.7
1962 185,771,000 162.3 4.6 9.4 59.7 88.6
1963 188,483,000 168.2 4.6 9.4 61.8 92.4
1964 191,141,000 190.6 4.9 11.2 68.2 106.2
1965 193,526,000 200.2 5.1 12.1 71.7 111.3
1966 195,576,000 220.0 5.6 13.2 80.8 120.3
1967 197,457,000 253.2 6.2 14.0 102.8 130.2
1968 199,399,000 298.4 6.9 15.9 131.8 143.8
1969 201,385,000 328.7 7.3 18.5 148.4 154.5
1970 203,235,298 363.5 7.9 18.7 172.1 164.8
1971 206,212,000 396.0 8.6 20.5 188.0 178.8
1972 208,230,000 401.0 9.0 22.5 180.7 188.8
1973 209,851,000 417.4 9.4 24.5 183.1 200.5
1974 211,392,000 461.1 9.8 26.2 209.3 215.8
1975 213,124,000 487.8 9.6 26.3 220.8 231.1
1976 214,659,000 467.8 8.7 26.6 199.3 233.2
1977 216,332,000 475.9 8.8 29.4 190.7 247.0
1978 218,059,000 497.8 9.0 31.0 195.8 262.1
1979 220,099,000 548.9 9.8 34.7 218.4 286.0
1980 225,349,264 596.6 10.2 36.8 251.1 298.5
1981 229,465,714 593.5 9.8 36.0 258.4 289.3
1982 231,664,458 570.8 9.1 34.0 238.8 289.0
1983 233,791,994 538.1 8.3 33.8 216.7 279.4
1984 235,824,902 539.9 7.9 35.7 205.7 290.6
1985 237,923,795 558.1 8.0 36.8 209.3 304.0
1986 240,132,887 620.1 8.6 38.1 226.0 347.4
1987 242,288,918 612.5 8.3 37.6 213.7 352.9
1988 244,498,982 640.6 8.5 37.8 222.1 372.2
1989 246,819,230 666.9 8.7 38.3 234.3 385.6
1990 249,464,396 729.6 9.4 41.1 256.3 422.9
1991 252,153,092 758.2 9.8 42.3 272.7 433.4
1992 255,029,699 757.7 9.3 42.8 263.7 441.9
1993 257,782,608 747.1 9.5 41.1 256.0 440.5
1994 260,327,021 713.6 9.0 39.3 237.8 427.6
1995 262,803,276 684.5 8.2 37.1 220.9 418.3
1996 265,228,572 636.6 7.4 36.3 201.9 391.0
1997 267,783,607 611.0 6.8 35.9 186.2 382.1
1998 270,248,003 567.6 6.3 34.5 165.5 361.4
1999 272,690,813 523.0 5.7 32.8 150.1 334.3
2000 281,421,906 506.5 5.5 32.0 145.0 324.0
2001 285,317,559 504.5 5.6 31.8 148.5 318.6
2002 287,973,924 494.4 5.6 33.1 146.1 309.5
2003 290,788,976 475.8 5.7 32.3 142.5 295.4
2004 293,656,842 463.2 5.5 32.4 136.7 288.6
2005 296,507,061 469.0 5.6 31.8 140.8 290.8
2006 299,398,484 473.6 5.7 31.0 149.4 287.5
2007 301,621,157 466.9 5.6 30.0 147.6 283.8
2008 304,374,846 457.5 5.4 29.7 145.7 276.7
2009 307,006,550 431.9 5.0 29.1 133.1 264.7
2010 308,745,538 403.6 4.8 27.5 119.1 252.3

This table is from http://www.ucrdatatool.gov/Search/Crime/State/RunCrimeStatebyState.cfm. There were no further years available but as you can see the violent crime rate has been steadily declining since 1991. If your theory were to hold up and if in fact the income inequality gap has continued to expand for the past 30 years, than why has the violent crime rate decreased since 1991. This throws quite the wrench in your theory. While I am not prepared to make a full fledged argument here, I would argue that one possibility is that income equality is not the same as quality of life equality. While it may be true that nominal and/or real income inequality has increased, quality of life equality has stayed on par or has improved due to technology and globalization. While merely anecdotal, it is somewhat visible to a casual observer how many in the middle class have luxuries and living standards unimaginable for prior generations. Cellular phones/smartphones, GPS in non-luxury line vehicles, even the focal point of this website, video games, can be seen as luxuries that help negate any possible income inequality thus reducing violent crime rates.