For starters, you're going to lose MIMO, so you've substantially downgraded your network's ability to handle multiple clients. It's also really unlikely that your weird old coax system is clean and not a rat's nest of splitters and unterminated ends (=interference).
Attaching multiple antennas to a single AP in a non-MIMO configuration is not a cost effective way of doing DAS with current technology, if it ever was. More, lower-powered APs all over the place is where you want to be spending your budget. If you want to save money on install, do PoE.