I may be wrong so just adding as a comment rather than an answer, but I'm fairly sure Matlab Home is just a different license, but the base Matlab product is the same as you would already have installed so in terms of interfering I would assume it is just a case of activating and deactivating licenses and you will get access to whatever toolboxes the activated license(s) have access to.
I'm also fairly sure though not certain that you can add toolboxes at a later date to a Matlab Home license otherwise it is extremely limiting in its offering I would think.
I don't think you will notice any difference between Matlab Home and your regular Matlab in terms of the base product though for running scripts. Some toolboxes are unavailable for Matlab home, but the rest should be the same.
