Well, I am sure you probably are speaking of people who will get save during the tribulation period, since of course according to my study the church will not face the tribulation. That being the case then, no one will trust Jesus and yet want to receive the mark of the beast.
Besides, God never faces a dilemma. We are talking about the only wise God who knows all about the past, presence and future.
Thanks however for calling our attention to this.