How are you going to attach the new feet to the dial? Asking because your tasks vary depending on whether or not your replacement feet will have round foot bases or not. There are several different ways to accomplish what you are attempting.
I've done this about every way you can except soldering on new feet. There is a thread on here showing how to do that but I decided it's not a skill I want to achieve.
Aside from that, the simplest and easiest way is to remove the feet from the 1570 dial, then sand/polish the back of the dial to rid it of all residue and irregularities. Next, apply four 2 - 3mm blobs of glue to the 3135 top movement plate away from any moving parts and set the dial into the glue. You can use GSHypo, I use BSI 30 min slow cure epoxy for nearly everything rep related. It gives you plenty of time to make corrections. It can be sliced through easily with a razor blade if needed and all surfaces will clean up (carefully) with alcohol.
If you are (understandably) intent on attaching new feet and the feet have bases, normally something needs to be done to reduce the base thickness. You can cut a round detent in the dial backside or into the movement top plate. The base can also be sanded much thinner. There is an affordable tool available on AliExpress that will make these cuts.
The reason this is usually necessary is because the extra foot base thickness pushes the dial above where it normally sits. This can impact stem height, available hands post vertical room, and date magnification if a cyclops is present. With a no date dial, it's possible you could get away without a detent but I would still thin the foot base to minimize the loss of available hands post room.
