Specifics, please. The electorate demands specifics. You're now at the point where your rubber meets the road. Give it a shot.
How would a "true conservative" handle these issues ---
My belated reply:
1. American sovereignty vs. illegal immigration
Quintessentially a Constitutional imperative, Derived as such, of federal primacy in jurisdiction.
Obviously before the law: Repel all boarders. With prejudice. Anyone here illegally is here illegally, and should serve time and.or be deported. Those illegals are not participatory in the gurantees afforded by the Constitution, and likely should be governed by military code (or something like that, separated from guarantees, other than those provided to military combatants).
Every Conservative I know is *FOR* Duncan Hunter's fence. But only with the manpower to maintain and patrol it, or it will be of no effect.
2. The erasure of American individual freedoms by overbearing Federal, state and local governments
Constitutionally true wrt the Bill of Rights. But largely a state issue without it. Items not specifically defined in the Constitution are left to the state, and to the People, respectively. Federal oversight of these things merely makes the federal government MORE overbearing.
A smaller Federal government would have less power to wield over the states, and ultimately, that would be the answer in all things wrt federal imposition outside of Constitutional boundaries. Libertarianism.
3. Encroaching globalism and its suffocation of personal self-determination and market independence,
Largely none of our business, outside of the Constitution remaining the supreme law of the land. And internally, much left to the states respectively (within the instantiation of their governing constitutions). Again, a substantially weakened federal power is what will secure us against globalism. The libertarian design of our government has a purpose.
4. Equity vs. equality,
Boring. Obviously only a matter of merit - Equality in opportunity is in that necessitated - Outcomes are governed by merit, loss, and somewhat lady luck. As it should be. The market would govern that, natively, and as defined by the state. No business of the federal government.
5. Military spending, training and qualifications
Not my forte wrt training and qualification, and too broad a question to answer in a word or two. I would defer to the military structure, honor, and code... Except in that Rights under the Constitution remain above Military code, in my mind. Spending is also a wild card, depending on the moment.
I am *FOR* a mighty defense. But I am not for foreign wars as a rule. 'foreign entanglements', etc in either war or treaty, foreign policy generally.
6. Energy independence
Over-regulation removed, largely a matter for an open market. As such, energy independence should be encouraged - but that likely handled naturally with market forces.
7. The preservation of the American legacy and inheritance, including in the government, education curriculum and the courts.
Far too long to even comment upon - And largely again, a matter that federal government should not acquire. Dept of education has a role, but a minor one I'd suppose, somewhat like weights and measures - Qualifying what a thing is wrt education, so that things that appear the same can be qualified as such. In that, a more rudimentary federal system to knit together state-run curricula into a form cohesive across the collegiate map
But largely, left to the states... To include admissions and grants - The federal government should be specifically prohibited.
'The courts' is a different topic altogether.