Even with a Kurt (or a clone) vise, you still need to seat the part into the vise with a special "graduated hammer" blow as Ballendo laid out. But this is not the cause of your tilt problem. Even in a good vise, the part will tilt if the front and back surfaces of the part are not paralled in the vertical plane of the vise jaws.
You should always use parallels under the part, whether these are precision parallels or even cold drawn keystock. By situating one parallel near the front and one near the back jaw, you can test if the bottom surface of the work is nesting properly on the two parallels, by attempting to pull them sideways. If they are both tight, then you have a good seating. This is also an excellent way for the beginner to learn to hammer properly. Too much force will cause the piece to bounce off the parallels. It takes just the right amount of force sometimes to make it perfect.
I still prefer a lead hammer to a plastic deadblow, because the lead is more dead. However, lead is a toxic pollutant, and you can easily contaminate your fingers by merely touching it.
Now, the tilt problem: its like the proverbial chicken and egg thing: you want to make a part with squared surfaces, but to do it, the stock needs to be square to start with.
Actually, though, there is a trick to use, even if your stock is not very good to begin with. We will assume that the back jaw of the vice is perfect for this discussion. If it isn't you can shim it to perfection by checking its vertical plane with a dial indicator in your non-rotating spindle.
Okay, when that is good, then get yourself a piece of round rod about as long as the vise jaws are wide. Place this piece of round bar stock between your workpiece and the movable jaw. Snug the vise closed, keeping the round bar about midway on the workpiece. Then, commence to hammer the workpiece down onto the parallels.
The principle in use here, is that the round stock provides a single line of contact with the movable jaw, and the part can tilt in front of it. So then, it seats firmly against the rear jaw.
One other trick to check up on, is the deflection of the rear jaw of the vice. Place your dial indicator against the back jaw and tighten the vise. You may be surprised to see it move a thousandth or two, but it will. If you are really extreme in the force you apply, you can get differing part locations with every clamping. So learn to use a consistent force for a given part.
BTW, do not tighten the vise any more after the last hammer blows. You can apply pressure to the handle to make sure it is tight, but don't try to tighten it some more. Over-tightening can lift the part off the parallels again, as your vise bows from the force.
Furthermore, if the part has no machined surfaces, do not worry about seating the bottom surface on the parallels until it is one of your previously machined surfaces. But you knew that
First you get good, then you get fast. Then grouchiness sets in.
(Note: The opinions expressed in this post are my own and are not necessarily those of CNCzone and its management)