Yes, I can beat that team.

Here are some pitchers I came up with:
SP: Tom Candiotti (1991) ERA +185
SP: Dennis Martinez (1995) ERA +150
SP: Chuck Nagy (1996) ERA +144
SP: Bartolo Colon (2002) ERA +177

CL: Mike Jackson (1998) ERA +310
RP: Derek Lilliquist (1992) ERA +223
RP: Jerry Dipoto (1993) ERA +181
RP: Jesse Orosco (1989) ERA +191

Quick note about Bartolo: I put in his 2002 (half a season) so I don't know if it counts, but in order to do that I used Jim Thome's 2001 (OPS +169) and Robbie Alomar's 1999 (OPS +140).  This was so I could use Bartolo's 2002 instead of his 1999 (ERA +127).  The gain by Bartolo is 50 (177-127) while the losses with Thome and Robbie are 31 (191-169 & 149-140).  The total net gain is 19 points

btw, Julio's profile should be up in the next couple of days.

Line-Up

2003 Bradley CF 151 OPS+ [.321 BA, 34 2B, 10 HR, 56 RBI, 17 SB]
2001 RAlomar 2B 149 OPS+ [.336 BA, 34 2B, 12 3B, 20 HR, 100 RBI, 30 SB]
2006 Hafner DH 183 OPS+ [.308 BA, 31 2B, 42 HR, 117 RBI]
1994 Belle LF 192 OPS+ [.357 BA, 35 2B, 36 HR, 101 RBI]
2002 Thome 1B 191 OPS+ [.304 BA, 19 2B, 52 HR, 118 RBI]
2000 Ramirez RF 185 OPS+ [.308 BA, 34 2B, 38 HR, 122 RBI]
2005 Peralta SS 139 OPS+ [.292 BA, 35 2B, 24 HR, 78 RBI]
1987 Jacoby 3B 142 OPS+ [.300 BA, 26 2B, 32 HR, 69 RBI]
1997 SAlomar C 127 OPS+ [.324 BA, 37 2B, 21 HR, 83 RBI]

Bench:
1986 Snyder SS/3B/OF 115 OPS+ [.272 BA, 21 2B, 24 HR, 69 RBI]
1990 A Cole LF/CF 108 OPS+ [.300 BA, 40 SB]
1988 L Medina 1B 148 OPS+ [.255 BA, 6 HR in 51AB]
1993 S. Horn DH 248 OPS+ [.455 BA, 4 HR in 33 AB]
1983 C Bando C 94 OPS+ [.256 BA, 4HR in 121 AB]

Rotation:

1984 Blyleven 142 ERA+ [19-7, 2.87 ERA, 12 CG, 4 SHO, 170 K in 245 IP]
1996 Nagy 144 ERA+ [17-5, 3.41 ERA, 5 CG, 167 K in 222 IP]
1982 Sutcliffe 138 ERA+ [14-8, 2.96 ERA, 6 CG, 142 K in 216 IP]
2004 Westbrook 134 ERA+ [14-9, 3.38 ERA, 5 CG, 116 K in 215.6 IP]
1995 D Martinez 150 ERA+ [12-5, 3.08 ERA, 3 CG, 2 SHO, 99 K in 187 IP]

Bullpen:

1998 M Jackson 310 ERA+ [40 saves, 1.55 ERA, 43 H, 55 K in 64 IP]
1992 Lilliquist 223 ERA+ [5-3, 6 saves, 1.75 ERA, 39 H, 47 K in 61.6 IP]
1989 Orosco 191 ERA+ [3-4, 3 saves, 2.08 ERA, 54 H, 79 K in 78 IP]
1999 Shuey 142 ERA+ [8-5, 6 saves, 3.53 ERA, 68 H, 103 K in 81.6 IP]
1991 J Shaw 123 ERA+ [0-5, 3.36 ERA]
1985 Ruhle 96 ERA+ [2-10, 4.32 ERA, 16 GS]

A few comments. Although I don't have a true 2B backup, Robbie rarely takes a day off and if Cory can play SS (which he did that season-34 games) he can play 2B in a pinch.
1985 had very few choices. I only went with Ruhle because he can be the mop-up/spot starter.

93 Lofton CF (L) 121 OPS+ [.325 BA, 28 2B, 8 3B, 42 RBI, 70 SB, GG D]
01 RAlomar 2B (S) 149 OPS+ [.336 BA, 34 2B, 12 3B, 20 HR, 100 RBI, 30 SB, GG D]
06 Hafner DH (L) 183 OPS+ [.308 BA, 31 2B, 42 HR, 117 RBI]
94 Belle LF (R) 192 OPS+ [.357 BA, 35 2B, 36 HR, 101 RBI]
02 Thome 1B (L) 191 OPS+ [.304 BA, 19 2B, 52 HR, 118 RBI]
00 Ramirez RF (R) 185 OPS+ [.308 BA, 34 2B, 38 HR, 122 RBI]
05 V Martinez C (S) 132 OPS+ [.305 BA, 33 2B, 20 HR, 80 RBI]
87 Jacoby 3B (R) 142 OPS+ [.300 BA, 26 2B, 32 HR, 69 RBI]
97 Vizquel SS (S) 111 OPS+ [.333 BA, 36 2B, 43B, 5 HR, 66 RBI, 42 SB, GG D]
Bench:
86 Snyder SS/3B/OF (R) 115 OPS+ [.272 BA, 21 2B, 24 HR, 69 RBI in 416 AB]
90 A Cole LF/CF (L) 108 OPS+ [.300 BA, 40 SB in 227 AB]
85 Hargrove 1B (L) 101 OPS+ [.285 BA, 14 2B in 284 AB]
04 Merloni 2B/SS/3B (R) 101 OPS+ [.289 BA, 12 2B, 4 HR in 190 AB]
83 C Bando C (S) 94 OPS+ [.256 BA, 4 HR in 121 AB]
Rotation:
84 Blyleven (R) 142 ERA+ [19-7, 2.87 ERA, 12 CG, 4 SHO, 170 K in 245 IP]
96 Nagy (R) 144 ERA+ [17-5, 3.41 ERA, 5 CG, 167 K in 222 IP]
82 Sutcliffe (R) 138 ERA+ [14-8, 2.96 ERA, 6 CG, 142 K in 216 IP]
88 Swindell (L) 129 ERA+ [18-14, 3.20 ERA, 12 CG, 4 SHO, 180 K in 242 IP]
95 D Martinez (R) 150 ERA+ [12-5, 3.08 ERA, 3 CG, 2 SHO, 99 K in 187 IP]
Bullpen:
98 M Jackson (R) 310 ERA+ [40 saves, 1.55 ERA, 43 H, 55 K in 64 IP]
92 Lilliquist (L) 223 ERA+ [5-3, 6 saves, 1.75 ERA, 39 H, 47 K in 61.6 IP]
89 Orosco (L) 191 ERA+ [3-4, 3 saves, 2.08 ERA, 54 H, 79 K in 78 IP]
03 Riske (R) 186 ERA+ [2-2, 8 saves, 2.29 ERA, 52 H, 82 K in 74.6 IP]
91 J Shaw (R) 123 ERA+ [0-5, 3.36 ERA, 72 H, 31 K, in 72.3 IP]
97 Assenmacher (L) 160 ERA+ [5-0, 2.94 ERA, 43 H, 53 K in 49 IP]

Much better balanced lineup, 3 Gold Glovers, Speed with Lofton, Robbie and Vizquel, and power from Robbie to Jacoby.

Added a LH starter (who was actually better than Westbrook in my opinion). And the bullpen is deeper with 3 lefties to choose from. No long relief guy though.

The bench is balanced as well except Snyder is the only power threat (unless you count Merloni's GS ability) with speed and decent average guys. I am hoping Bando is decent defensively, he did make 8 Tribe squads, but in the 80s, that ain't saying much.

I love to see Jacoby made the lineups.  He was always my favorite growing up.