It has a better shot of beating TDK's opening admissions than beating its total admissions in the domestic market. People forget it had a 3.37 multiplier, which is unreal for such a big opener. It sold 22 million tickets on opening weekend and 71 million total. The odds of it beating the 71 million number are slim to none IMHO. Just for some perspective, here is the list of biggest Batman admissions in North America:
TDK - 71 million
B89 - 63 million
Forever - 42 million
Returns - 39 million
Begins - 32 million
Robin - 23 million
Notice the huge gap between the two movies featuring the Joker and the four movies not featuring the Joker? It's a huge uphill climb for TDKR or any other Batman movie without the Joker to get anywhere near B89 and TDK's admissions. However, the opening weekend admissions number is a lot more reachable. Batman Returns broke the opening weekend admissions record in 1992 and I believe Batman Forever also broke the opening weekend admissions record in 1995, despite the fact that neither film had the Joker. The Joker effect has a bigger impact over the long haul of each film's run in theaters.