So I am running these two OLS regressions on two DVs, each having the same IVs. The problem is, one DV is continuous, and the other is measured categorically in a five-point Likert scale format (I converted both into an index ranging from -1 to 1, increasing from left-wing to right-wing). Now, here are the frequency distributions for both:

Aboriginal Support Index:




Racial Minority Support Index:



And here are the regressions I run on both:
Code:
 reg pes19_donerm_index i.immigrant_status i.region i.gender_status i.age_group i.education_status i.religious_status i.income_group i.urban_status i.party_id_status i.soc_net_vis_status c.ideology_index
Code:
reg aboriginal_support_index i.immigrant_status i.region i.gender_status i.age_group i.education_status i.religious_status i.income_group i.urban_status i.party_id_status i.soc_net_vis_status c.ideology_index
Now my questions are, since one DV is categorical, and the other is continuous, can I still compare regression results from the two? Also, since the aboriginal support index is not normally distributed, will this affect my interpretation? Should I be z-standardizing the DVs to account for this? Finally, in regard to multicollinearity in my IVs, should I be fixing each IV at their mean values? Anyone know how to do this for linear regressions in STATA?