As taken from Teddy Roosevelts, hunting the grisly and other sketches:
"The wolf is one of the animals which can only be hunted successfully
with dogs. Most dogs however do not take at all kindly to the pursuit.
A wolf is a terrible fighter. He will decimate a pack of hounds by
rabid snaps with his giant jaws while suffering little damage himself;
nor are the ordinary big dogs, supposed to be fighting dogs, able to
tackle him without special training. I have known one wolf to kill a
bulldog which had rushed at it with a single snap, while another which
had entered the yard of a Montana ranch house slew in quick succession
both of the large mastiffs by which it was assailed. The immense
agility and ferocity of the wild beast, the terrible snap of his long-
toothed jaws, and the admirable training in which he always is, give
him a great advantage over fat, small-toothed, smooth-skinned dogs,
even though they are nominally supposed to belong to the fighting
classes. In the way that bench competitions are arranged nowadays this
is but natural, as there is no temptation to produce a worthy class of
fighting dog when the rewards are given upon technical points wholly
unconnected with the dog's usefulness. A prize-winning mastiff or
bulldog may be almost useless for the only purposes for which his kind
is ever useful at all. A mastiff, if properly trained and of
sufficient size, might possibly be able to meet a young or undersized
Texas wolf; but I have never seen a dog of this variety which I would
esteem a match single-handed for one of the huge timber wolves of
western Montana. Even if the dog was the heavier of the two, his teeth
and claws would be very much smaller and weaker and his hide less
tough. Indeed I have known of but one dog which single-handed
encountered and slew a wolf; this was the large vicious mongrel whose
feats are recorded in my /Hunting Trips of a Ranchman/."
I don't do much hunting anymore myself, but any hunters will tell you that wolves are just different beasts, especially timber wolves. They are quick, ferocious if need be, strong and agile. They also have the killers edge....it's what they do to survive.
Only a gamebred dog or large powerful dog would stand a chance against a full grown , large wolf, but even then, it's chances would probably be slim to none.
Wolves have larger paws, and jaws that are meant to crush bones with. Their bite force is much greater then the bite force of the strongest dog, and most telling of all, they are survivalist and natural hunters which means they are more durable and savage then any dog you will find in your back yard.
Really think about it.