Comparing the Red Sox vs AL Contenders in their wins and losses

Do the Red Sox just beat bad teams by a lot of runs?

Short answer is no.

The Red Sox beat teams by a lot of runs because they have the best offense in MLB

You will see below that the Red Sox wins have come against teams with a .494 win percentage. This ties them for 4th with Baltimore among AL contenders.

Do the Red Sox score more runs, in their wins? Not as much as Cleveland but firmly in 2nd place.

Since when is it a bad thing to score a lot more runs than your opponent in MLB. I'll answer. Never.

Here are the numbers for the AL contenders in their wins.

NOTE: team wins, runs in wins, runs against in wins, run differential, OPP W, OPP L, OPP win %. 
Won-lost records are through BOS/CLE day game on August 15, 2016. 
Sorted by run differential.

TEAM	W	R	RA	Run Diff	W	L	PCT
CLE	67	444	162	282	3,748	4,093	0.478
BOS	65	469	205	264	3,765	3,856	0.494
TOR	67	426	178	248	3,950	3,907	0.503
BAL	66	405	193	212	3,815	3,913	0.494
DET	63	398	186	212	3,603	3,776	0.488
SEA	62	397	188	209	3,629	3,633	0.500
TEX	69	407	211	196	4,096	3,987	0.507

Here are the numbers for AL contenders in their losses.

Texas gets beat by the most runs (-197) against the worst teams (.492) among the contenders. Does that mean they are no good. No. It means in those particular games they pitched and hit poorly.

Detroit losses to the teams with the better records (.522). Do they stink?

Boston has lost their 52 games by the 2nd fewest amount of runs per game (3.08). Only team ahead is Seattle at (3.02).

Instead of that being a negative vibe, I take it as a positive. All it means to me is that the Red Sox are competitive in more games than anybody. Eventually, the law of averages will turn some losses in to wins. Like today win over Cleveland.

NOTE: team losses, runs in losses, runs against in losses, run differential, OPP W, OPP L, OPP win %.
Won-lost records are through BOS/CLE day game on August 15, 2016. 
Sorted by run differential.

TEAM	L	R	RA	Run Diff	W	L	PCT
BOS	52	174	52	-160	3,113	2,982	0.511
TOR	51	141	51	-160	3,014	2,957	0.505
SEA	54	144	54	-163	3,240	3,101	0.511
BAL	51	144	51	-174	3,059	2,923	0.511
CLE	49	146	49	-178	2,888	2,860	0.502
DET	54	152	54	-190	3,296	3,024	0.522
TEX	50	147	50	-197	2,884	2,974	0.492