It makes sense, as the interest rates charged on mortgages tend to be lower than for other types of debt, like credit cards or personal loans. Remortgaging will also allow you to consolidate all of your debts into one loan that is easier and cheaper to manage.
Unfortunately, there are some disadvantages. For example - you will need to have considerable equity in your home (your mortgage has to be to be significantly lower than the current value of your house). Some of this equity will disappear, once you have consolidated all of your debt into your mortgage. Adding extra debt onto your mortgage will obviously increase the total homeloan amount. So, it will increase your monthly repayments or you will have to increase the term of the mortgage to accommodate this.
It is essential that you make sure it's a real profit for you before you remortgage. It is pointless to go through a whole process only to find that your financial situation is worse afterwards.
First of all, make sure the interest rate you are offered on your new mortgage is a real deal. You will probably have to pay for a valuation and all legal fees, arrangement fees, admin costs, plus an exit fee for paying off your current mortgage - it's essential to work out all these expenses and factor them into your calculations before final decision is made. Remortgaging could work out to be a cost-effective way to consolidate your debts in the long term. However, you must do the maths properly. You will probably only be allowed to do it if you have substantial equity in your property. A financial adviser could help you to work out the figures if you feel you need help making the decision.