ثُمَّ يَأْتِي مَقَامَ إِبْرَاهِيمَ، فَيُصَلِّي عِنْدَهُ رَكْعَتَيْنِ، أَوْ حَيْثُ تَيَسَّرَ مِنَ الْمَسْجِدِ.
Translation: He then goes to Maqam Ibrahim and prays two units there, or wherever is feasible within the mosque.
Two prayer units are offered after the tawaf. Maqam Ibrahim is mentioned as the preferred location, but the wording expressly permits another available place within the mosque.
There is therefore no need to force a path through worshippers to stand immediately next to Maqam Ibrahim.