afcarval,
Evidence that photons have spin 1 comes from the nature of electromagnetic waves. EM waves have a linear polarization, and their effects can described by a vector E perpendicular to the wave. Regarding the source, they can be emitted from a dipole antenna. All of these are characteristic of a spin-1 particle.
By contrast, gravitons (assuming they exist) are spin 2 particles. Gravitational waves would have a much different character. Instead of a transverse vector E they would need to be described by a transverse shear tensor. That is, alternate stretching and compression in both directions perpendicular to the wave. Likewise, the source of the wave would need to be quadrupole. Spin 2 waves could not be emitted by a dipole antenna, since they are quadrupole in nature.