Striking Out
by Kegler

Each row and column contains one square where the Across and Down answers conflict.  In each case, strike out that square with
an X and move one of the conflicting letters to the top row, and the other to the bottom (you have to decide which goes where).
When done correctly, each of the two outer rows will contain a phrase describing the conflicting squares.

Striking Out grid

Across
1Cardiologist finishes with heart (4)
4Ships' destinies include specialized equipment (8)
10P.S. - Never do twisting to cause ends not to meet (9)
11Gem starts to oxidize, potentially adding luster (4)
12Compound is more scattered (6)
13Curse about rejected disk; a slippery slope? (8)
14Shared total returning to Kennedy (8)
16Newspaper executive gets halfway through boundary (4)
17Director Burton going back after that lady, one who "wants to be alone" (6)
23Truly trendy action (6)
26Vehicle for Klemperer, some say (4)
27One who surrounds Ike in remains of fire (8)
28My soap is fomenting discussions (8)
30Penetrate section maintaining resistance (6)
31Finally going to basketball playoff game (4)
32United Nations' stand-in, expected December 1st, is still running wild (9)
33Stiffened broken-down cart in lean-to (8)
34Send me back my television award (4)
Down
1Progress finally overcoming bad throw (6)
2Rapidly consume one new hot drink (6)
3Small delays in accomodations for horses (7)
4Occurrence I'd initially expected just prior to nightfall (8)
5Smell from three kumquats (4)
6One's holding stand for flowers (6)
7Turn right after military address for highest point (6)
8Strange green fork is source of power (6)
9Oracle with camper tray (6)
15Hated document supporting exam (8)
18Sweep around Norton where you sleep (7)
19Tent-site on American school grounds (6)
20Old-fashioned one of five clings to hint of ancestry (6)
21One who watches introduction to video? You're busted (6)
22Get in the way of urchin, daredevil at heart (6)
24Assemble mosaic displaying symbol (6)
25Not well-insulated, but dry around the back (6)
29Cone shattered in the past (4)

Solution