Refinance is a very useful concept and yes, that Great Neck, NY Refinance can really help you consolidate your debt. In fact, that is one of the important reasons for going for a mortgage refinance. 
There is no denying the fact that mortgage refinance is really an attractive option when your current mortgage interest rate is much higher (around 2 percentage points) than the prevailing mortgage rate in the market. However, sometimes it might make sense to go for a mortgage refinance even if the mortgage rates are not that low (as compared to your current mortgage rate).
One such scenario is when you are running a high interest debt. This high interest debt can be a credit card debt, or it can be personal loan debt, or just any other kind of debt which is at an interest rate that is much higher than your home mortgage interest rate (as such home mortgage interest rates are much lower than the interest rates on any other kind of loan). If you can get rid of this high interest debt (i.e. consolidate your debt) using a low interest loan, then you are at least putting the brakes on the rate at which your debt is growing (and hence saving a lot of money).
So, if you have enough home equity, you can go for a Great Neck, NY Refinance offer for your house (and in fact you should go for it) and consolidate your high interest debts to a low interest home loan. Great Neck, NY Refinance offers can be easily obtained from online websites. 
So that Great Neck, NY Refinance can really help consolidate debt.