Hi nd and welcome to the forum
No - your husband's IVA will not affect your right to stay in the UK and eventually become a British citizen.
It may have an effect on your credit rating, given that you are married and live at the same address, but I guess with debts the size of your husband's that is of little concern at the moment.
From what you say about your income and expenditure, it seems that you will have little disposable income to offer to creditors under IVA proceedings, where the minimum monthly repayment is likely to be in the region of £320. If you are able to post more definitive information about your overall income and ependiture, I can advise further.
Under IVA proceedings, you are subject to ongoing reviews of your income and expenditure - and if the IVA supervisor believes you can afford to pay more, having taken account of all annual increases in expenditure, then he will call for an increase in payments.
Regards, Melanie Giles, Insolvency Practitioner for over 20 years.
For further details contact me at
http://www.melaniegiles.com and view my IVA blog at:
http://melaniegiles.blogs.iva.co.uk