We study the custodial Randall-Sundrum model with two Higgs doublets localized in the TeV brane. The scalar potential is CP- conserving and has a softly broken Z2 symmetry. In the presence of a curvature-scalar mixing term ξabℛΦ †aΦb the radion that stabilizes the extra dimension now mixes with the two CP-even neutral scalars h and H. A goodness of fit of the LHC data on the properties of the light Higgs is performed on the parameter space of the type-I and type-II models. LHC direct searches for heavy scalars in different decay channels can help distinguish between the radion and a heavy Higgs. The most important signatures involve the ratio of heavy scalar decays into b quark pairs to those into Z pairs, as well as the decay of the scalar (pseudoscalar) into a Z plus a pseudoscalar (scalar).