So I'm not sure if I can or should continue my relationship with my fiance or try to fix things. We've been together for two years now. When we first started dating they said that they were working on finishing their masters degree but they have not done so. They also said they'd be going back to work after they finished their degree. They have just been running through their savings and staying at home. They do most of the chores but the house is often a bit of a mess. Now they're saying that they want to wait until after kids to go back to work. My family also thinks it is a bad idea to marry them.
Clearly your partner is going to be a house spouse, and maybe will pick up a hobby job at some point in the future, but not one with any stress or time lines.
Are you ok with being the sole provider long term?
If not, then you might want to find another partner. If yes, then make peace with your spouse's ambitions yet inability to execute.