I am not quite sure what you mean when you say "the abortion lobby wants the federal govern,net to pay for abortions".  If it means wanting that abortions be covered by Medicare, this is still not the same as promoting abortion.  
And when you say "abortion lobby", that sounds like a group that is lobbying for people to have abortions.  I know of no such group.  There are groups that want women to be allowed to make that decision.  That is not the same as lobbying for abortion.