"I know I don't have good success against this team, but I've pitched well at times and still haven't gotten a good result," Escobar said.
Escobar (8-9) gave up two runs and six hits to improve to 2-9 against the White Sox, including 1-7 as a starter. He also lost a pair of games to Chicago in the AL Championship Series last October.
"I was out there forgetting about what happened last year and just trying to pitch," he said. "It's been tough on me all year, pitching well and not winning many games."
"We can't worry about what other teams are doing," Buehrle said. "If Detroit goes undefeated the rest of the year and wins every game, we got to shoot for the wild card. But until the division is not ours and they say there is no way you can win it, we're still shooting for the division."
Buehrle (9-10) lost his sixth straight decision and has not won since June 27. The three-time All-Star yielded all three solo shots -- Quinlan's sixth homer in the third, Guerrero's 24th in the fourth and Molina's third in the fifth.
The Angels chased the left-hander with a two-out, three-run rally in the seventh. Buehrle committed a bases-loaded balk during the inning when he and first baseman Paul Konerko got confused on a pickoff play.
"One of those plays we tried to put on before. I feel responsible. I got the ball in my hand. I didn't make sure the play was on, just a miscommunication," Buehrle said. "Just one of those innings. I got two outs and everything fell apart."
With two outs in the seventh, Buehrle walked Tim Salmon, gave up a single to Quinlan and after a visit from manager Ozzie Guillen, walked Molina to load the bases. Buehrle then started to throw toward first -- hoping to pick Molina off by going behind him -- but Konerko wasn't there. Buehrle held onto the ball and a balk was called that gave the Angels a 4-2 lead.
Chone Figgins followed with a two-run single to finish Buehrle, who yielded seven hits and six runs in 6 2/3 innings.
"I think Jose Molina had the big at-bats for us tonight, him and Robb Quinlan," Figgins said. "We just wore Buehrle down."
Francisco Rodriguez pitched a perfect ninth for his 27th save in 30 chances.
Jim Thome hit his 34th homer for Chicago.
The game was a makeup of a May 11 rainout. The White Sox began a season-long 11-game homestand, with series against the Yankees, Tigers and Royals to follow. The Angels started a 10-game road trip that also includes visits to Cleveland, New York and Texas.
Chicago got a run in the fourth on Thome's double, Konerko's grounder and an RBI infield single by Jermaine Dye.
Singles by Tadahito Iguchi, Konerko and Joe Crede cut the Angels' lead to 3-2 in the sixth. Thome homered off Hector Carrasco in the eighth.
It was a sweet win for Escobar, who angered Guillen by hitting A.J. Pierzynski with a pitch during a loss to the White Sox in April.
There were no repercussions. Pierzynski didn't start, but pinch hit in the ninth. Sandy Alomar Jr. got the nod behind the plate.
Escobar and Pierzynski were involved in two of the most pivotal plays of the AL Championship Series last October.
In Game 2, Pierzynski struck out against Escobar but reached first when an umpire ruled Angels catcher Josh Paul, who rolled the ball back to the mound, had not caught the ball before it hit the dirt.
In Game 5, Pierzynski reached safely after Escobar tagged him with his glove -- while the ball was in the pitcher's other hand. Escobar was the loser in both games.
On Monday night, he got the win by keeping the White Sox off balance with a mix of pitches.
"The middle of their lineup is as good as there is in baseball," Angels manager Mike Scioscia said. "I thought Kelvim did a great job of making the pitch when he had to."
- Buehrle has given up 24 homers, four more than all last season. It was the second time this season he has given up three in a game.
- Iguchi was 1-for-18 before his sixth-inning single.
- Howie Kendrick's 16-game hitting streak ended when he went 0-for-5.