You're assuming that your wife won't have a claim on the house? Usually, the wife could expect to receive 50% of the value of the house, and any other possessions, irrespective of who actually pays/paid the bills. And, yes, the courts could order you to sell the house in order to raise the 50% value to give to your wife. I know that is true .. it happened to a friend of mine.
I don't know whether it makes any difference that your wife is only in UK on ILR - I suspect not. One thing that may be taken into account is the length of the marriage, and if it can be proven that you truly have provided the majority of the finances.
In my case, about 90% of our joint wealth was mine, or inherited from my parents. My wife still received 50%.
