I've only removed the sights on an XD-M slide, I am still cerakoting it about to put new sights on after cerakoting.
The old sights, I gave up and cut them out with a dremel. I have seen online speculation that the XD sights are installed by heating the slide and using loctite. That most people that are successful use a jig with hydraulic press, I was unable to get them with my sight pusher. I see a sight pusher advertised for XD, that uses a wrench to crank down on it, instead of buying another sight pusher I just broke out the dremel.
Hopefully XD Mod.2 are different, are you have the heavier duty pusher or just lucky, some are able to push out the sights with pushers, some try and try and give up and cut them out. I was the latter.
As well as penetrating oil, before attempting to push them out, I would look up a good solvent for loctite and see if you can get that to penetrate in case they are loctited like folks speculate, then penetrating oil.
If you elect to cut them out, I found that you can cut the site into the dovetail 3/4 or 7/8 of the way, that takes off enough pressure that they easily tap out with a punch. This avoids cutting into the slide as well.
My replacement sights, trijicon's, definitely have a bevel on them, inserting them left to right they go in much farther, while going right to left, they barely even start into the bevel. I can only insert them 1/10th of the way into the dovetail going left to right, I filed them down so I can get them started by finger to 1/3rd of the way, which I have found online advice stating this. I used cold blue to blue the filed down portion.
So, whether the OEM sights are beveled or not, based on my replacement sights, I think it would be smarter to push them out right to left, push them out to the left side, left of the pistol as if your shooting it, to your left. Push the new ones in Left to Right, which is the most typical.
Since I'm cerakoting my slide, and I have done this in the past, my plan is, I have the new sights in the freezer and when I pull the slide out of the oven, still hot, is to put it in a lined vice (with high temp masking tape) and tap the sights into the dovetail, putting the high temp masking tap over the punch. Use my micrometer to measure the sights distance to the vice walls, to perfectly center the sights on the slide. I also put a drop of blue loctite in the dovetail and on the bottom of the sight.