Hmm, this looks confusing. I am not sure what "getconf LONG_BIT" means but from the other things in looks like you have a 64 bit kernel and 32 bit binaries.
You may try with the 32 bit sysinfo to see what happens (rename the file to its 64bit name); I expect it to run.
As for the conversion itself... Actually the converter helper VM (converter-helper-vm.iso, converter-helper-vm-x64.iso) is also a hybrid - its 64 bit version uses 32-bit binaries with 64 bit kernel. The 64 bit kernel is necessary for installing GRUB and making initrd image. I don't know what to expect if you rename the helper iso, too - probably the reconfiguration will fail.
Does the source machine have LVM? If yes - which bitness (file /sbin/lvm)? If it is a 32-bit LVM, there are chances for the 32 bit helper to succeed creating logical volumes.
I suppose it is a BIOS machine (I mean not EFI; EFI has different firmware for 32 and 64 bit).
Usually, when converter can't reconfigure a Linux system, I use to recommend booting from the installation live CD ot install GRUB and make initrd from there. Not sure whether this would work in this case, too.
But it's certainly worth trying. Good luck.