Using US Income to purchase UK Home?

Hello,
I've just applied for a resident visa (through marriage) in the U.K. I am originally from the U.S and was wondering if anyone has any experience on purchasing a home with U.S forms of income. For me, I currently receive US Veterans Benefits and social security. These are my two forms of income. Can these be recognized as a verified form of income in order to obtain a mortgage to purchase a home? This would be happening in a couple years time of course, but I'm under the impression it would be counted as "solid" income to purchase a home with my wife.
Can anyone help me with this? Thanks for your help!
Ps. I understand I cannot apply to become a citizen until 2.5 X 2 = 5 years in the UK. Does this affect anything as well as long as I'm a legal resident and married to a UK national? Thanks!