Iris infiltration.

Pinks infiltration. Right next to the Iris, above.

Forget the name of this ground cover, but it grows beautiful purple flowers. It is being infiltrated by something with small, star shaped, white flowers. NOT the pink ones in the foreground. I'm pretty sure those are creeping phlox.

Close up of white flowers.

The white stars look to be "star of Bethlehem" which is really obnoxious to get rid of. In a yard it can be controlled with some simple products, but mixed into the other plants it's going to be very difficult. Basically they have bulblets which means even if you pull the leaves, it has energy to make more; and chances are they will win. So iyou have to get under ground and take out the bulbs.

Looks like the last picture is in a field of Bee Balm? Monarda Didyma? Some might venture that's a weed as well! The only real solution is to hand pull... just make sure to get roots and tubers!

Here is another picture of the ground cover in the last 2 pictures. It has spread a little bit but not terribly in 3 summers. I quite like it. Thanks for the star of Bethlehem id.

Please tell me how you control Stars of Bethlehem?

Sorry! No idea how to control the SoB. Other than I typically pull it by hand. It's not too hard to pull.

Your infiltrator looks like campanula glomerata. Very pretty in bloom but quite the spreader. If you figure out how to control it let me know since I've got my own problems here with the same plant.
Stupidly I'm waiting until after it blooms to eradicate.... But I've said that for the last three years (and about 200 square feet ago)

Your 'Pinks' are Armeria maritima aka Thrift or Sea Pink. Pinks by itself refers to various Dianthus. Armeria needs full sun and an open position since it is native to sea cliffs. So the Campanula glomerata needs to come out of there asap. You might have to dig it up to extricate the Campanula roots.