Can J/psi suppression and p_T broadening signal the deconfinement transition at RHIC?

We have analyzed the latest NA50 data on $J/\psi$ suppression in Pb+Pb collisions at CERN SPS. It is shown that a QCD based nuclear absorption model, where $J/\psi$'s are absorbed in nuclear medium could explain the latest NA50 data on the centrality dependence of the $J/\psi$ over Drell-Yan ratio. The model also explains the NA50 data on $J/\psi$ over minimum bias ratio and the $p_T$ broadening of $J/\psi$'s. A QGP based threshold model where all the $J/\psi$'s are suppressed above a threshold density, also explains the data sets with smeared threshold density. Even at RHIC energy, centrality dependence of $J/\psi$ suppression or $p_T$ broadening could not distinguish between the two models.