Multiplicity
by Kegler

Eleven words become non-words before entry, each via an analogous change.  1A is uncommon.

Multiplicity grid

Across
1We left relatives in heaven
6Nearby rise said to be nothing
10Object to part of program in disgust
13Sample from press agent is ready
15Hit man's bid?
16Contrarily damage circulation with tungsten
17Regretted Liberal Kennedy getting the last word?
18Model Banks and I involved in bit of playfulness and fraternity prank (2 wds)
20Joint pops out
23Complains of limits bordering on ridiculous, at first
25Defense barely got by, faked out of position
27Exotic, hardy tentacled creature
28Eastern USA is crazy for biblical character
29Ultimately, the small group comes up short with certain trust fund
30Learned Danes describing Norse poetry...
32...represented as if holy, but not in a cultured fashion
34Generate admiration; earned, in a way
35Bathrobe seemingly hides fat
36Trapping one heartless SOB, releases flying saucers?
Down
2Uplifting taste of tropical fruit is present
3Phillips Academy site also completed
4Bug more than half of Germans
5Threaten rascal, then quit
7One who annoys duty-dodger quietly ignored
8Ropes snaring a couple of wayward chickens
9Covered with dry white powder, male tenants lied
10Doctor Mae ruined a series of cars
11Lead off with bargain
12Finally reclaim some lots
14Father playing violin in large tent
19Lady leaves nice sharecropper
20One figuring out Diamondback's starter contributed to two runs
21One attorney starting to read word on a Jewish calendar
22Use so-so cast of bone
23Hired help catch some heat?
24Barbarians inside of cave enthralled by wise men
26Man at the heart of Carol's wild outcries
30Island's energy lab exploded
31Salon worker sometimes is critical, we hear
32Poetically superior poseur oddly ignored
33Soft sound from a bovine

Solution