Tony,
You will find that a 3MT is classed as a self locking taper, that is where if both male and female are in good condition, they will lock up almost solid just by pushing up on the taper.
That is how most MT quills work in milling machines, and so does not require the tang to tighten up, just either a method of locking the quill while you tighten up on the drawbar, or a spanner on your toolholder which will do the same sort of thing.
The tang fitting is also standard in most mills with an MT taper, that is so the mill can be used as a drilling machine using the larger sizes of drills that have an MT taper and tang. That allows you to quickly change drills by using a tapered drift thru the slots in the side of the quill to release the drill rather than having to undo a drawbar.
So you should find that your MT tapered tooling without tangs should work just fine using the drawbar you have.
But you must take care which type of thread is used on your drawbar, because tooling can normally come with two different types, and you will have to get another drawbar turned up with the other thread on, just so that you can mount either type into your machine.
Have a look at the top ones on here, it shows that you can order one of two types for MT3, one with a M12 thread or another with 3/8″ Whitworth. I would suspect your drawbar, as it is continental, to have an M12 thread.
Just a warning, unless you have a self ejector on your drawbar, it can take some serious persuasion to get the MT taper to seperate, and I would suggest you invest in a good dead blow or lead hammer, to prevent damage to the drawbar top.
I hope this helps.