With the bottom of the Championship tighter than ever, this was a result that left nerves jangling with Ipswich closer to the drop zone in 17th, three points ahead of third bottom Huddersfield.
Millwall are a point ahead of them and lie 14th, although they have two games in hand of some of the teams around them after a match that never caught fire.
McCarthy said: "It's a good point, without a doubt, and we've gained four points over Easter from our home game on Saturday and a point here. It wasn't a good game - it was pretty poor with two teams in a relegation scrap, where we've been all season long and I think it's probably dawning on Millwall as well now.
"They're one point better off than us and the other teams around us have won so it's nervy. The conditions weren't great - it was blowing a gale and it was a bouncy old pitch so it wasn't conducive to a great game of football.
"And yet there were quite a lot of chances and both teams could have won it, but I'll take a point all day long. Easter hasn't made or broken us - if anything it's made us a bit worse off despite getting four points because the league's bonkers, just crazy."
Ipswich's Luke Hyam twice came close in the first half when Mark Beevers cleared his lob from 45 yards off the line before he was denied by a brilliant save by David Forde. Shane Lowry came closest for Millwall after the break when his free-kick hit the post, with Forde again sharp in blocking Frank Nouble's shot.
Lions boss Kenny Jackett said: "I felt that we had the better of the chances - Ipswich had a couple but we had more that were clear-cut. Since the (FA) Cup quarter-final we've won two games and drawn one, but the gap's closed at the bottom over this Bank Holiday weekend.
"I felt that we generally lacked width, even early on in the game until Ipswich just matched us up. Early in the game, I felt that even though we passed the ball well, we lacked players that could go past people."
"I probably should have introduced Liam Feeney earlier on because he did have a positive effect when he came on."
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